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Paper Citation Record · LEDGER

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces

As of 21 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2607.24735.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.24735 v2

Coverage vector

measured 76 of 76 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-31T06:43:17.229354Z

measured 76 of 76 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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76 of 76 outbound references displayed

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Outbound references

Observation ffc8b776-1d9b-48aa-8b22-943e9d3ff017 · outbound

This paper cites On the first variation of a varifold.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces On the first variation of a varifold

Reference 1

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Observation 141b4b58-69fb-4f37-8d48-1776fffa3042 · outbound

This paper cites Almgren Jr.Almgren’s big regularity paper.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Almgren Jr.Almgren’s big regularity paper

Reference 2

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source=pdf_text observed=2026-07-31T06:43:16.664944Z digest=sha256:e3a9f9987041dcbccc8b37a6bfb1c6f74ec79720fe9d78385afe123fbfeaf668

Observation 3e164bb9-78b9-4262-857c-1a7b66e4d52c · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 3

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Observation 7e089785-a227-43b6-82bd-987302945a7e · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 4

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source=pdf_text observed=2026-07-31T06:43:16.676842Z digest=sha256:7bf7907a111ecfc9e24e504b329bf82fc3fa28a89f9a7a2dc726994ace9063c6

Observation d1031127-3d55-4244-b7a1-68b21d6f41c0 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 5

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source=pdf_text observed=2026-07-31T06:43:16.682095Z digest=sha256:60475306c2933b3d9e2bf33b2419e50848ec0405307560aca46270b5aa2ac8e8

Observation c044b4a6-1a28-4542-9ac2-3e002c3f6f04 · outbound

This paper cites A dimension descent scheme for the positive mass theorem in arbitrary dimension.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces A dimension descent scheme for the positive mass theorem in arbitrary dimension

Reference 6

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Observation 423b2879-d45d-448f-bdb5-cfd1a6b69fd1 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 7

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source=pdf_text observed=2026-07-31T06:43:16.697627Z digest=sha256:bc588ecb0b89f3df95ba3b195a4603556f3d073abe5d2160e67465d1e39f5c0d

Observation 9d33e03d-d9e1-4071-9894-34c40603fb99 · outbound

This paper cites Some open problems in geometric measure theory and its applications suggested by par- ticipants of the 1984 AMS summer institute.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Some open problems in geometric measure theory and its applications suggested by par- ticipants of the 1984 AMS summer institute

Reference 8

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source=pdf_text observed=2026-07-31T06:43:16.702870Z digest=sha256:4dbdfd9ae6047e7336fd63bb8a1c17fd2db36811cb8fe39f662fbf0dcf9d0121

Observation e66f10ba-8f4a-44df-b586-9d19a5ceb0e4 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 9

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source=pdf_text observed=2026-07-31T06:43:16.708114Z digest=sha256:88ad4904525d1eaa4be24879b68f39c216fc72f9078127038368bab34309fab3

Observation 3293313a-5881-4efe-aa5a-24a81d4fb589 · outbound

This paper cites Non-persistence of strongly isolated singularities, and geometric applications.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Non-persistence of strongly isolated singularities, and geometric applications

Reference 10

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source=pdf_text observed=2026-07-31T06:43:16.714456Z digest=sha256:a9f68d78081ca7fcace98de87aa459c8d9ce059df65e948ac9e69ab7be3a86c8

Observation 689e5f65-9d64-41f2-bf20-cee4bbb833d9 · outbound

This paper cites Two-dimensional area minimizing integral currents are classical minimal surfaces.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Two-dimensional area minimizing integral currents are classical minimal surfaces

Reference 11

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source=pdf_text observed=2026-07-31T06:43:16.721749Z digest=sha256:ac6c3fa2cd0351e1d76730583fb6ed29d95d1e7c97792f714fb4b4ea2dd02c26

Observation 77fc9cb2-989e-4fe0-bd97-926781397e01 · outbound

This paper cites Minimal submanifolds of a sphere with second fundamental form of constant length.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Minimal submanifolds of a sphere with second fundamental form of constant length

Reference 12

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source=pdf_text observed=2026-07-31T06:43:16.728015Z digest=sha256:2e822b4f91417c55ac4bb1f6b41e7d533819ea1ef020523ada5d4ca7dcbc9e9d

Observation d0544b43-b9bc-448e-80bf-3a696cf48300 · outbound

This paper cites Generic regularity for minimizing hypersurfaces in dimensions 9 and 10.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Generic regularity for minimizing hypersurfaces in dimensions 9 and 10

Reference 13

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source=pdf_text observed=2026-07-31T06:43:16.732905Z digest=sha256:66fc3e16efae9032def54c1d9cff7d1553de58c9b1d219a4215576cfc385d632

Observation cf7dca42-ae1a-432c-b1b3-d20c2cf6cac5 · outbound

This paper cites Improved generic regularity of codimension-1 minimizing integral currents.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Improved generic regularity of codimension-1 minimizing integral currents

Reference 14

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source=pdf_text observed=2026-07-31T06:43:16.737648Z digest=sha256:c47aefab319b88c3321f141e24bdda64ff4d23ba0e238ab1d459acfab9136df3

Observation 61951f61-f24d-4ca8-a333-e9f78e9fd87f · outbound

This paper cites Generic regularity for minimizing hypersurfaces in dimension 11.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Generic regularity for minimizing hypersurfaces in dimension 11

Reference 15

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source=pdf_text observed=2026-07-31T06:43:16.742746Z digest=sha256:5a93a4c9be78029040af3d2e776b3a72bc5d7670298108b17ec05a51532cfe59

Observation 0a0a4284-63d3-4020-a612-fd735235c6e6 · outbound

This paper cites The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $\mathcal{H}^{m-2}$-a.e. Uniqueness of Tangent Cones.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces The Fine Structure of the Singular Set of Area-Minimizing Integral Currents III: Frequency 1 Flat Singular Points and $\mathcal{H}^{m-2}$-a.e. Uniqueness of Tangent Cones

Reference 16

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source=pdf_text observed=2026-07-31T06:43:16.748117Z digest=sha256:dd6bd364df86a5d98f59fc682a0d1583047e52bfc1a7bc5ad5099e591704241b

Observation a18b4bcb-9634-47cc-9e9e-a1c3b58ac063 · outbound

This paper cites The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces The fine structure of the singular set of area-minimizing integral currents I: the singularity degree of flat singular points

Reference 17

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source=pdf_text observed=2026-07-31T06:43:16.754438Z digest=sha256:0da0752d396118fe6640d4565021851abe0c09c63b70c2821a17b13d365d4136

Observation b0164833-0398-4a52-862c-bc5019e9969b · outbound

This paper cites The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$

Reference 18

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source=pdf_text observed=2026-07-31T06:43:16.760678Z digest=sha256:61140ad2891fbdc8c8658dc5a1acc8a0c68ed61f994d3bef002c5a5903431585

Observation 3be998f5-6989-41a4-896b-1c2b3046d98d · outbound

This paper cites Regularity of area minimizing currents I: gradi- entL p estimates.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Regularity of area minimizing currents I: gradi- entL p estimates

Reference 19

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source=pdf_text observed=2026-07-31T06:43:16.768200Z digest=sha256:fba9f9e663e6e7b8e54bba6b796e1b51c70ff0cb6afb2d960406f6b964524f67

Observation 592686e2-7ba1-45a1-aebe-847151fdf5f0 · outbound

This paper cites Regularity of area minimizing currents II: center manifold.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Regularity of area minimizing currents II: center manifold

Reference 20

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source=pdf_text observed=2026-07-31T06:43:16.775032Z digest=sha256:e9f0a0187d9bc4a5cd8f12445aef945b45007b352bdbc6d49f039187c7f54750

Observation b5f405c5-41e9-4062-a7fa-b687ad8141a2 · outbound

This paper cites Regularity of area minimizing currents III: blow- up.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Regularity of area minimizing currents III: blow- up

Reference 21

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source=pdf_text observed=2026-07-31T06:43:16.780311Z digest=sha256:7b8e9013650d5593908a461257e9bd5db924068ac2bc6434426cf378eec061be

Observation e4a2c65d-d302-4c17-afd9-866a5f8c4a51 · outbound

This paper cites Regularity theory for2-dimensional almost minimal currents I: Lipschitz approximation.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Regularity theory for2-dimensional almost minimal currents I: Lipschitz approximation

Reference 22

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source=pdf_text observed=2026-07-31T06:43:16.785430Z digest=sha256:34979fe3e91f21467db6f917d14e0984ecae64a32caa9e4bd6c05eacfb3913ee

Observation 9757feb1-e79a-41ba-9ff1-177b1978989b · outbound

This paper cites Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Regularity theory for 2-dimensional almost minimal currents II: Branched center manifold

Reference 23

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source=pdf_text observed=2026-07-31T06:43:16.790198Z digest=sha256:d04f9282b7fa6902aa979bfbd7621cb1412e0b6957277c12b8ad37a9f620cf5d

Observation 8586c265-e09c-4b76-808b-e3356711465c · outbound

This paper cites Regularity theory for 2-dimensional almost minimal currents III: Blowup.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Regularity theory for 2-dimensional almost minimal currents III: Blowup

Reference 24

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Observation bbf30bdf-412a-4de8-a648-7be27f012572 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 25

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source=pdf_text observed=2026-07-31T06:43:16.800545Z digest=sha256:b432309da63a5dd7b02de54dd2c317ff4ec025a78cb8741ded4205d8c602ed23

Observation 8b62505d-6fa8-458e-a4f6-6f8a8e30410c · outbound

This paper cites Euler flag enumeration of Whit- ney stratified spaces.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Euler flag enumeration of Whit- ney stratified spaces

Reference 26

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source=pdf_text observed=2026-07-31T06:43:16.806039Z digest=sha256:4338d5cfcb8f97c6827341ec050ad56e147858db739cab951615805057be00fe

Observation b0d96cd0-c1ea-4900-b666-32aa264ad906 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 27

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source=pdf_text observed=2026-07-31T06:43:16.812343Z digest=sha256:05b909db3e299c778926fe81617835d75062cd807920520f4d38fbc0b8e6e10a

Observation 33545cf7-79de-48ee-aade-7f1c46bd45c0 · outbound

This paper cites Some theorems on integral currents.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Some theorems on integral currents

Reference 28

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source=pdf_text observed=2026-07-31T06:43:16.817946Z digest=sha256:8b7f9aef499c7f09c2a893512176f2d6a50c45913a42b3a26ecf50c53db9bf1a

Observation 75ed7cab-4f38-458e-bbc4-e42dafb09b6e · outbound

This paper cites The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces The singular sets of area minimizing rectifiable currents with codimension one and of area minimizing flat chains modulo two with arbitrary codimension

Reference 29

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source=pdf_text observed=2026-07-31T06:43:16.823971Z digest=sha256:c3f36a0eb530fac6fd66a16cf418d9a097a88aff3aa14ce8c4e1d3c17aa3e720

Observation 17d36449-2558-47f4-b002-2b4fe84917a9 · outbound

This paper cites Normal and integral currents.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Normal and integral currents

Reference 30

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source=pdf_text observed=2026-07-31T06:43:16.829063Z digest=sha256:7b1691ce227d2416c7e4f2cca90850ec397d02cfe73fa78b08decfe6a5331c53

Observation 3df0391a-884e-4a61-8a88-7072db7cf14e · outbound

This paper cites Flat chains over a finite coefficient group.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Flat chains over a finite coefficient group

Reference 31

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source=pdf_text observed=2026-07-31T06:43:16.834344Z digest=sha256:7b9140173346702df9a93baaf5ddff228ea904ea2a9a27bc07b8f19a2c7081c6

Observation 7677f973-1928-4930-ae39-305e0ae8c307 · outbound

This paper cites Sharp inequalities for coherent states and their optimizers.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Sharp inequalities for coherent states and their optimizers

Reference 32

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source=pdf_text observed=2026-07-31T06:43:16.840377Z digest=sha256:c559af379aa9672af135e127818a8f2e08eba3db1d77b7fbbf598cce89e0d55b

Observation 24458ce8-44ab-4531-b50f-277f92989b21 · outbound

This paper cites Triangulation of stratified objects.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Triangulation of stratified objects

Reference 33

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source=pdf_text observed=2026-07-31T06:43:16.850018Z digest=sha256:cf346aee2278e0e960fb8bb70e1578fd21ec8b4b1641f65806aeae1901791002

Observation 1f5e1128-1a0d-4ad9-88ff-7fdb3c10f32f · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 34

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source=pdf_text observed=2026-07-31T06:43:16.864738Z digest=sha256:01aa05485eeac3ca2b79df0403ce1957bbdf126f91407a5defa117997cff894f

Observation e41d09b5-4d96-49a9-838c-7dff7534d20a · outbound

This paper cites Area minimizing hypersurfaces with isolated singularities.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Area minimizing hypersurfaces with isolated singularities

Reference 35

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source=pdf_text observed=2026-07-31T06:43:16.874744Z digest=sha256:1e7e828aa866377ef088c9655164a9516e53fac300a951b21b48be4b9b13443c

Observation 8ae5e7f3-3aee-45b2-90af-64acd5324a09 · outbound

This paper cites Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Obstructions to special Lagrangian desingularizations and the Lagrangian prescribed boundary problem

Reference 36

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source=pdf_text observed=2026-07-31T06:43:16.924747Z digest=sha256:af4b576ae5e8b8b4e38a4d71a6d2570fd01cfb0370a907c1191262d66f891a2d

Observation 53b7c789-afde-4df8-8f7a-114192f71d09 · outbound

This paper cites Cambridge University Press, Cambridge, 2002, pp.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Cambridge University Press, Cambridge, 2002, pp

Reference 37

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source=pdf_text observed=2026-07-31T06:43:16.945734Z digest=sha256:c51ff9d8f420738ca0a61e41baaad506f8ad5a0dd4fbc71460b24fcef13419d4

Observation a31d9b2b-0a95-49a8-83af-bab28b1c9215 · outbound

This paper cites Hirsch.Differential topology.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Hirsch.Differential topology

Reference 38

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source=pdf_text observed=2026-07-31T06:43:16.956127Z digest=sha256:2daaaac60b657292caa701e0ee9f4730f861aadb0f27c2dffdd11f7880651401

Observation 25835885-2abd-4889-810a-fc12bf9310e7 · outbound

This paper cites Smooth regular neighborhoods.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Smooth regular neighborhoods

Reference 39

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source=pdf_text observed=2026-07-31T06:43:16.961767Z digest=sha256:577a547397d3c85e22989e6347d86eaaf09b1157264eec0d55a33056651a5cbf

Observation 37390f66-bb85-4cfb-a170-eb3ae538a8a9 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 40

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source=pdf_text observed=2026-07-31T06:43:16.967196Z digest=sha256:1dabe29ef14b9b1b4f407eb1d12ee0a70c99f4f1b477f9a1dcd75a03cec37a1e

Observation 0250632f-de3d-4d7b-bfe1-c17ef732839f · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 41

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source=pdf_text observed=2026-07-31T06:43:16.974432Z digest=sha256:ad979c0e14b11135e062d0dab4b5d1555331b9d634936da346167ca3665f3cb1

Observation d46f2f72-62b0-4a66-ad9a-b8b49601eb60 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 42

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source=pdf_text observed=2026-07-31T06:43:16.987319Z digest=sha256:4b02af6e13aa6b2103eb070704773abdb5fa096f56e88fb7f7436a004636cec1

Observation b84ac466-04a3-4297-a4f2-84b624dbb3dd · outbound

This paper cites Analysis of singularities of area-minimizing currents, Part II: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Analysis of singularities of area-minimizing currents, Part II: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones

Reference 43

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source=pdf_text observed=2026-07-31T06:43:17.010135Z digest=sha256:bf9c68f25306f44a8cbe873ceabd62d1121d2ad0d28547077f41ff2cbdee6971

Observation df36f07e-1066-430b-a3ea-9e9f87f2025a · outbound

This paper cites Analysis of singularities of area-minimizing currents, Part III: branch points of planar frequency $\neq$ 2, higher order asymptotics, and the local topology.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Analysis of singularities of area-minimizing currents, Part III: branch points of planar frequency $\neq$ 2, higher order asymptotics, and the local topology

Reference 44

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source=pdf_text observed=2026-07-31T06:43:17.016128Z digest=sha256:23be69438255b89a70f8fd7d060931be63f1e57dff5666748ef58d65f076c0bc

Observation 2e4ec5e2-2284-413e-ad57-0420c665a3a4 · outbound

This paper cites A monotonicity theorem for subharmonic functions on manifolds.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces A monotonicity theorem for subharmonic functions on manifolds

Reference 45

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source=pdf_text observed=2026-07-31T06:43:17.030240Z digest=sha256:142cdc297c948043241421d06f84a90e912f152830580a3c1547fe3c79e3e4dd

Observation c10dfeab-f8ef-4526-8b0a-0f282604b953 · outbound

This paper cites A sufficient criterion for a cone to be area-minimizing.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces A sufficient criterion for a cone to be area-minimizing

Reference 46

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source=pdf_text observed=2026-07-31T06:43:17.044740Z digest=sha256:ffe725dcda17ed3c4fd7eb492d854e8285cda14025f7d2989b982cca93040a18

Observation d2de0970-a740-40e8-b3e8-0937f10837dc · outbound

This paper cites A note about the Veronese cone.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces A note about the Veronese cone

Reference 47

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source=pdf_text observed=2026-07-31T06:43:17.050454Z digest=sha256:86f848b354934435daedccde9cfecaa18032e76b3c84f594edefa1daea65ecca

Observation b98b7271-49ab-4186-bb72-ab4fa9502952 · outbound

This paper cites Lee.Introduction to smooth manifolds.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Lee.Introduction to smooth manifolds

Reference 48

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source=pdf_text observed=2026-07-31T06:43:17.064301Z digest=sha256:4336f0483466c47381d46dc823906908aa49af85fcdc74475ed41e8558f2836e

Observation a3ef62bd-7350-41ae-a79e-ebfdef065c25 · outbound

This paper cites Minimal hypersurfaces for generic metrics in dimension 8.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Minimal hypersurfaces for generic metrics in dimension 8

Reference 49

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source=pdf_text observed=2026-07-31T06:43:17.075891Z digest=sha256:2baf9f5be930dd161c68d579b8f6aaab5add2585e192e5ff35ac40ab12e52f1d

Observation 78ed5a94-e857-4da6-824b-7355311cee6f · outbound

This paper cites Proof of an entropy conjecture for Bloch coherent spin states and its generalizations.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Proof of an entropy conjecture for Bloch coherent spin states and its generalizations

Reference 50

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source=pdf_text observed=2026-07-31T06:43:17.083067Z digest=sha256:d6454b7b3c77ad5d56d4898debf2626cf37d6c548419f08771ac2303d7a4a815

Observation ac36e49b-cc62-4dde-8322-71734594b1b6 · outbound

This paper cites The weak convergence of varifolds gener- ated by rectifiable flatG-chains.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces The weak convergence of varifolds gener- ated by rectifiable flatG-chains

Reference 51

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source=pdf_text observed=2026-07-31T06:43:17.088960Z digest=sha256:c0ffc8365ff788ca15be655af858c6b93bb3c983bcd1f209fd5175554df74bee

Observation e444ad72-ba88-4691-aa4f-6d95f6339798 · outbound

This paper cites Area-minimizing submanifolds are not generically smooth.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Area-minimizing submanifolds are not generically smooth

Reference 52

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source=pdf_text observed=2026-07-31T06:43:17.102631Z digest=sha256:85ed8e308c2bc5f5ec9d4b37f617dd499136bebd3ef9a87e4cbcd4efaa26c4c7

Observation e1df8114-5e0c-4f93-8f05-bb62f1895d2b · outbound

This paper cites Area-minimizing surfaces with fractal singular sets: prevalence, moduli space, and refinements on strata.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Area-minimizing surfaces with fractal singular sets: prevalence, moduli space, and refinements on strata

Reference 53

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source=pdf_text observed=2026-07-31T06:43:17.107709Z digest=sha256:547a1d3b3271e9eccb9a58c2db135b023c65f31e6a465b2644468e3e2917d863

Observation 84abb817-c96e-4eac-9cf4-17047c5886cd · outbound

This paper cites accepted at Annals of Mathematics.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces accepted at Annals of Mathematics

Reference 54

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source=pdf_text observed=2026-07-31T06:43:17.112545Z digest=sha256:b06debd88b0e7fa08fbb7e0fb80e28d86a113402866515ce7f40ce1fab8b34f5

Observation 761b2c75-dc3f-4713-bda2-ec827038b5a4 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 55

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source=pdf_text observed=2026-07-31T06:43:17.117561Z digest=sha256:ef33e39e26a648bf9d759b4753ee6e7195aae58aa70fdc77e0c542d7f19f0cf4

Observation 094213cd-dd2d-4dc6-b2e8-2f08f44a9b5c · outbound

This paper cites Connected sums of codimension two locally flat submanifolds.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Connected sums of codimension two locally flat submanifolds

Reference 56

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source=pdf_text observed=2026-07-31T06:43:17.123155Z digest=sha256:cd3d6e53006e08c28a8ff35125c9424a60d2fbf5d0c8a320ed65d5135ac0807c

Observation 6bbb896b-1c22-4e8b-a3be-c4e487cde83c · outbound

This paper cites A priori bounds for geodesic diameter. Part I. Integral chains with coefficients in a complete normed commutative group.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces A priori bounds for geodesic diameter. Part I. Integral chains with coefficients in a complete normed commutative group

Reference 57

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source=pdf_text observed=2026-07-31T06:43:17.128931Z digest=sha256:3fa96e95e969a526935351d4a99d774638fb8e19b45ce1ab8495fac767b2ad46

Observation 6c3bd54a-2971-4c66-b210-36cea8bfe005 · outbound

This paper cites Calibrations moduloν.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Calibrations moduloν

Reference 58

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source=pdf_text observed=2026-07-31T06:43:17.134525Z digest=sha256:0400a942d2b7b6b873f5533c23376dc35ae50566cc96d54cbd87c77fd750ca85

Observation e63b799c-2db0-4980-a8e4-b5cd0f51ca83 · outbound

This paper cites Examples of unoriented area-minimizing surfaces.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Examples of unoriented area-minimizing surfaces

Reference 59

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source=pdf_text observed=2026-07-31T06:43:17.139422Z digest=sha256:64a8047d4d361d1953bf779f30a9acf5fe92f43686cff6c9d524c850ea446789

Observation cf826e93-4587-4159-b9d5-9acc31bf9f23 · outbound

This paper cites Twisted calibrations.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Twisted calibrations

Reference 60

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source=pdf_text observed=2026-07-31T06:43:17.144141Z digest=sha256:db383fa54cc50a6183b0d06a4bc3a49d20eb743684787fc95588ba5cf732fef2

Observation 367b5bb4-9da8-49f3-bff8-cc7542abf39c · outbound

This paper cites Thesis (Ph.D.)–Rice University.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Thesis (Ph.D.)–Rice University

Reference 61

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source=pdf_text observed=2026-07-31T06:43:17.149051Z digest=sha256:6d8e73fa81ff50d51e6cf6f38a63c2a89163cd700a6c75403ba0139f9100c9b4

Observation c68a31f1-335f-4cdc-a9d9-79485ce7c129 · outbound

This paper cites Cylindrical tangent cones and the singular set of minimal submanifolds.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Cylindrical tangent cones and the singular set of minimal submanifolds

Reference 62

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source=pdf_text observed=2026-07-31T06:43:17.154138Z digest=sha256:1820edd4f0f87f1725153c78c9845d2c92c78019a8ad22355bc4724998d4047b

Observation 101bb866-8874-4b2b-a4e7-ac34ab66fe40 · outbound

This paper cites an unresolved cited work.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Unresolved cited work

Reference 63

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source=pdf_text observed=2026-07-31T06:43:17.160163Z digest=sha256:eba0551df546e29ebe69a9eb1f3b55ca5e234a671b3a3706ed8348a21d280dc2

Observation ed8277e5-4f66-47f4-a532-14c2506d2a04 · outbound

This paper cites Generic regularity of homologically area minimizing hypersurfaces in eight- dimensional manifolds.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Generic regularity of homologically area minimizing hypersurfaces in eight- dimensional manifolds

Reference 64

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source=pdf_text observed=2026-07-31T06:43:17.165868Z digest=sha256:c0e055def77f93008c3a7d0d11af1cfbf19238ff976a70d59288ad5591b25686

Observation 1e12d707-e55a-4e26-a4dd-e0551268d0b8 · outbound

This paper cites Minimizing cones associated with isoparametric foli- ations.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Minimizing cones associated with isoparametric foli- ations

Reference 65

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source=pdf_text observed=2026-07-31T06:43:17.170973Z digest=sha256:84aeaa7b29807259cac434fd128a963c5b66a91d6dc803008630fb7129663666

Observation 66b6723f-3e60-4d31-8cb0-4ff9b1d1a963 · outbound

This paper cites Quelques propri´et´es globales des vari´et´es diff´erentiables.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Quelques propri´et´es globales des vari´et´es diff´erentiables

Reference 66

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source=pdf_text observed=2026-07-31T06:43:17.177510Z digest=sha256:dfc0bb9c909ca8159495387596190b7591c11d2f326c023e00733cc7ef9903f7

Observation b0cecbf7-32ff-47ce-ae25-304031e23201 · outbound

This paper cites Stratification theory.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Stratification theory

Reference 67

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source=pdf_text observed=2026-07-31T06:43:17.186222Z digest=sha256:6973d70695f4965b35a369ff411f4abd2289c9b6e44c30da25418653b7eea581

Observation b0fab372-e186-488c-bec9-04ee65e97138 · outbound

This paper cites Geometric versions of Whitney regularity for smooth stratifications.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Geometric versions of Whitney regularity for smooth stratifications

Reference 68

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source=pdf_text observed=2026-07-31T06:43:17.191939Z digest=sha256:c0aed0b23878348e8cd423771569fc76be6d66fcd8b668cc906b425bdfc8134f

Observation 34fc5f86-c3b5-4314-9e39-6fc160831926 · outbound

This paper cites Mean convex smoothing of mean convex cones.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Mean convex smoothing of mean convex cones

Reference 69

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source=pdf_text observed=2026-07-31T06:43:17.197729Z digest=sha256:839ec431d49878249838cd345f60ec325091f313a35e954f69e49bf32803b040

Observation 6cf524ef-b00b-461b-86da-3ca9b65865c9 · outbound

This paper cites Generic Transversality of Minimal Submanifolds and Generic Regularity of Two-Dimensional Area-Minimizing Integral Currents.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Generic Transversality of Minimal Submanifolds and Generic Regularity of Two-Dimensional Area-Minimizing Integral Currents

Reference 70

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source=pdf_text observed=2026-07-31T06:43:17.203121Z digest=sha256:f69d7d482496405a3f67f721ee0ad6e17f36abd17db056fadd86563f92005edc

Observation adf14596-591a-4c43-b393-58e55942e0e1 · outbound

This paper cites Rectifiability of flat chains.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Rectifiability of flat chains

Reference 71

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source=pdf_text observed=2026-07-31T06:43:17.208609Z digest=sha256:5bbd9355b9810429fb46ff453ea023c50eb9fe0d274c5c7d3e05f41fc9974eb1

Observation b8c19727-50fb-4f05-afc0-5215bf5013d7 · outbound

This paper cites The deformation theorem for flat chains.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces The deformation theorem for flat chains

Reference 72

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source=pdf_text observed=2026-07-31T06:43:17.213324Z digest=sha256:73b8dbd109816063303a11030387401c38141e07f2379dde895c39f559c4f434

Observation 26a74e92-effb-4646-ba4e-014677931bc1 · outbound

This paper cites Thesis (Ph.D.)–State University of New York at Stony Brook.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Thesis (Ph.D.)–State University of New York at Stony Brook

Reference 73

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source=pdf_text observed=2026-07-31T06:43:17.219441Z digest=sha256:29eac684bf86d08050667cf44b8e9327f91358c974faa590f6099dfddc95efae

Observation b0165091-9cda-4453-9d25-1ce99bbe8ad4 · outbound

This paper cites On extending calibration pairs.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces On extending calibration pairs

Reference 74

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This paper cites On realization of tangent cones of homologically area-minimizing com- pact singular submanifolds.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces On realization of tangent cones of homologically area-minimizing com- pact singular submanifolds

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This paper cites Analysis of singularities of area minimizing currents, Part I: planar frequency, branch points of rapid decay, and weak locally uniform approximation.

Area-minimizing submanifolds are not generically smooth, except for geodesics, minimal surfaces, and minimal hypersurfaces Analysis of singularities of area minimizing currents, Part I: planar frequency, branch points of rapid decay, and weak locally uniform approximation

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