Paper Citation Record · LEDGER

Non-collapsing of Ricci shrinkers with bounded curvature

As of 14 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2412.13546.

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pith.paper-citation-record.v1
2412.13546 v1

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measured 52 of 52 reference resolution

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52 of 52 outbound references displayed

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Outbound references

Observation a37aea48-02c5-4a1b-9ec0-b93f145046ae · outbound

This paper cites Bakas, S.

Non-collapsing of Ricci shrinkers with bounded curvature Bakas, S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.560922Z

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Observation 5644bd5b-668e-428e-991a-c3acb16f8052 · outbound

This paper cites Bamler, C.

Non-collapsing of Ricci shrinkers with bounded curvature Bamler, C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.527771Z

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Observation aec4815c-fd89-45d6-b4e8-6c099e540371 · outbound

This paper cites Burago, Y.

Non-collapsing of Ricci shrinkers with bounded curvature Burago, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.503775Z

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Observation 0b03985b-9e56-4cb8-935f-ae19a5d421ef · outbound

This paper cites Bierstone, The equivariant covering homotopy property for di ﬀerentiable G-ﬁbre bundles , J.

Non-collapsing of Ricci shrinkers with bounded curvature Bierstone, The equivariant covering homotopy property for di ﬀerentiable G-ﬁbre bundles , J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.481713Z

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Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:23.454063Z

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Observation 1acd185c-d8fd-44ed-bd12-0722109b39d5 · outbound

This paper cites Buser, H.

Non-collapsing of Ricci shrinkers with bounded curvature Buser, H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.431288Z

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Observation b538f053-6e82-4206-bf5e-640cb9da1366 · outbound

This paper cites Cao, B.-L.

Non-collapsing of Ricci shrinkers with bounded curvature Cao, B.-L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.405875Z

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Observation f244776a-4f83-4608-9f8d-1be58531c675 · outbound

This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:23.379664Z

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Observation 3514724f-7f44-488f-a2d9-9bacdc16cf1b · outbound

This paper cites Carrillo, L.

Non-collapsing of Ricci shrinkers with bounded curvature Carrillo, L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.350478Z

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This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:23.323611Z

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Observation cc6fc211-a0da-427d-bdd4-78e2b11df739 · outbound

This paper cites Cheeger, K.

Non-collapsing of Ricci shrinkers with bounded curvature Cheeger, K

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.298348Z

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Observation f9308b82-e2a1-43e5-aa32-3871910e3c71 · outbound

This paper cites Cheeger, M.

Non-collapsing of Ricci shrinkers with bounded curvature Cheeger, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.274041Z

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Observation 9483e774-5350-444a-ada1-07e035745dde · outbound

This paper cites Cheeger, M.

Non-collapsing of Ricci shrinkers with bounded curvature Cheeger, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.249257Z

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Observation 53a0b19b-c734-41e9-9eca-016eb67fc5ac · outbound

This paper cites Chen, Strong uniqueness of the Ricci ﬂow , J.

Non-collapsing of Ricci shrinkers with bounded curvature Chen, Strong uniqueness of the Ricci ﬂow , J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.223403Z

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Observation 11043d87-8f5f-4b63-b42b-3c34d4af05e4 · outbound

This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 15

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Observation ea801523-7ec7-4ef3-adfe-e85a8e98e046 · outbound

This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 16

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Observation a96682f3-9749-4a61-92b5-92795ff53c6d · outbound

This paper cites Cifarelli, R.

Non-collapsing of Ricci shrinkers with bounded curvature Cifarelli, R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.133316Z

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Observation 26fbe2a9-f5a8-44bb-a9ea-0de04cb62555 · outbound

This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:23.108964Z

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Observation ddd11fce-7d9d-4bec-81b4-29d217d66a33 · outbound

This paper cites Dong, Three-manifolds with bounded curvature and uniformly posi tive scalar curvature , The Journal of Geometric Analysis 33.6 (2023): 169.

Non-collapsing of Ricci shrinkers with bounded curvature Dong, Three-manifolds with bounded curvature and uniformly posi tive scalar curvature , The Journal of Geometric Analysis 33.6 (2023): 169

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.084288Z

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Observation 981f14f4-853e-4c80-8874-15a4f880f05f · outbound

This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:23.050506Z

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Observation cde86e13-5466-45ec-9dc5-d1e414fd03cb · outbound

This paper cites Fukaya, Collapsing Riemannian manifolds to ones of lower dimension s, J.

Non-collapsing of Ricci shrinkers with bounded curvature Fukaya, Collapsing Riemannian manifolds to ones of lower dimension s, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:23.018325Z

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Observation 40d764e7-6b7e-48cc-b65e-f35aa2b470d2 · outbound

This paper cites Fukaya, A boundary of the set of the Riemannian manifolds with bounde d curvatures and diameters, J.

Non-collapsing of Ricci shrinkers with bounded curvature Fukaya, A boundary of the set of the Riemannian manifolds with bounde d curvatures and diameters, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.991893Z

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Observation e0a9f415-cf38-4d7f-a8c0-271c586cd909 · outbound

This paper cites Fukaya, Collapsing Riemannian manifolds to ones of lower dimension II, J.

Non-collapsing of Ricci shrinkers with bounded curvature Fukaya, Collapsing Riemannian manifolds to ones of lower dimension II, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.961891Z

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Observation 717eb43c-b4f6-4a97-b3dc-5235c60ca1c2 · outbound

This paper cites Fukaya, HausdorﬀConvergence of Riemannian Manifolds and Its Applications, Adv.

Non-collapsing of Ricci shrinkers with bounded curvature Fukaya, HausdorﬀConvergence of Riemannian Manifolds and Its Applications, Adv

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.934145Z

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Observation 58905d4f-94fa-42ad-af12-c51803977dca · outbound

This paper cites Gigli, Lecture notes on di ﬀerential calculus on RCD spaces , Publ.

Non-collapsing of Ricci shrinkers with bounded curvature Gigli, Lecture notes on di ﬀerential calculus on RCD spaces , Publ

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.904530Z

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Observation 4f26460e-cbe2-40a0-a73c-42fec78882ea · outbound

This paper cites Gromov, Almost ﬂat manifolds , J.

Non-collapsing of Ricci shrinkers with bounded curvature Gromov, Almost ﬂat manifolds , J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.866564Z

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Observation 3ee30eba-5ebe-447c-b17b-66c875162e48 · outbound

This paper cites an unresolved cited work.

Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:22.838205Z

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Observation c77739dc-e73d-4c30-93ab-f0c1fe3bfc4a · outbound

This paper cites Haslhofer, R.

Non-collapsing of Ricci shrinkers with bounded curvature Haslhofer, R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.806993Z

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Observation 52d6c78d-9ed7-48fa-8a7b-1a99083c2683 · outbound

This paper cites Haslhofer and R.

Non-collapsing of Ricci shrinkers with bounded curvature Haslhofer and R

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.781649Z

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Observation 45b878e6-d825-484b-b6a1-244d3b247616 · outbound

This paper cites Huang, ǫ-regularity and structure of four-dimensional shrinking R icci solitons, Int.

Non-collapsing of Ricci shrinkers with bounded curvature Huang, ǫ-regularity and structure of four-dimensional shrinking R icci solitons, Int

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.753213Z

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Observation 1cd8898f-60dc-43b8-bb7e-1b825433fd1d · outbound

This paper cites Huang, Y.

Non-collapsing of Ricci shrinkers with bounded curvature Huang, Y

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.721172Z

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Observation 01d94714-9f36-4199-ad1e-943e263383a2 · outbound

This paper cites Kleiner, Riemannian four-manifolds with nonnegative curvature and continuous symmetry, Ph.D.

Non-collapsing of Ricci shrinkers with bounded curvature Kleiner, Riemannian four-manifolds with nonnegative curvature and continuous symmetry, Ph.D

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.697953Z

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Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:22.672470Z

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Observation 1170d99f-b9bd-47c7-9ed8-3c00dfe79708 · outbound

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Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 34

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Observation aa388b60-7e04-4e94-9a8e-bcd58865e6f6 · outbound

This paper cites On K\"ahler Ricci shrinker surfaces.

Non-collapsing of Ricci shrinkers with bounded curvature On K\"ahler Ricci shrinker surfaces

Reference 35

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Observation 60c486ea-a9e7-491d-a712-6e1602d9a9df · outbound

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Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 36

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Observation c352fe2d-4894-4b3b-822f-4854c0341352 · outbound

This paper cites Naber, Noncompact shrinking four solitons with nonnegative curva ture, J.

Non-collapsing of Ricci shrinkers with bounded curvature Naber, Noncompact shrinking four solitons with nonnegative curva ture, J

Reference 37

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Observation 0169c754-09e3-4367-bdcb-19d668b582b6 · outbound

This paper cites Naber, G.

Non-collapsing of Ricci shrinkers with bounded curvature Naber, G

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.572759Z

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Observation b76549ec-3344-4c85-a06a-3c7ec8043747 · outbound

This paper cites Naber, G.

Non-collapsing of Ricci shrinkers with bounded curvature Naber, G

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.542187Z

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Observation 0044c1a4-ef5f-4136-a0b1-14fb205c87e8 · outbound

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Non-collapsing of Ricci shrinkers with bounded curvature Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:12:22.503210Z

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Observation ff210566-a8f9-4ab2-bdea-357b579fc1f1 · outbound

This paper cites O’Neill, The fundamental equations of a submersion, Michigan Math.

Non-collapsing of Ricci shrinkers with bounded curvature O’Neill, The fundamental equations of a submersion, Michigan Math

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.476193Z

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Observation eef29973-d533-4e82-9e26-18ac7373884b · outbound

This paper cites Perelman, The entropy formula for the Ricci ﬂow and its geometric appli cations, arXiv:math.DG/0211159.

Non-collapsing of Ricci shrinkers with bounded curvature Perelman, The entropy formula for the Ricci ﬂow and its geometric appli cations, arXiv:math.DG/0211159

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T13:12:21.757862Z

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Unavailable: canonical work link unavailable.

Observation e2a2bdd8-aeb7-4567-b6ca-fe2075802cc8 · outbound

This paper cites Petrunin, X.

Non-collapsing of Ricci shrinkers with bounded curvature Petrunin, X

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.452054Z

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Observation 7c5c61a9-519a-47c0-acad-199bf25fc596 · outbound

This paper cites Petrunin, W.

Non-collapsing of Ricci shrinkers with bounded curvature Petrunin, W

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.424173Z

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Observation b6c99013-fcc8-468c-b27c-7495f571b64e · outbound

This paper cites Rong, On the Fundamental Groups of Manifolds of Positive Sectiona l Curvature, Ann.

Non-collapsing of Ricci shrinkers with bounded curvature Rong, On the Fundamental Groups of Manifolds of Positive Sectiona l Curvature, Ann

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.383140Z

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Observation d5c46c4f-9e52-4491-97ea-b13ae1e495a0 · outbound

This paper cites Rong, Convergence and Collapsing Theorems in Riemannian Geometry, Handbook of geo- metric analysis, No.

Non-collapsing of Ricci shrinkers with bounded curvature Rong, Convergence and Collapsing Theorems in Riemannian Geometry, Handbook of geo- metric analysis, No

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.342349Z

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Observation 27f46117-98c0-4782-af04-4daa07dface1 · outbound

This paper cites Shi, Deforming the metric on complete Riemannian manifolds , J.

Non-collapsing of Ricci shrinkers with bounded curvature Shi, Deforming the metric on complete Riemannian manifolds , J

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.313760Z

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Observation abdfcd66-a6fe-4875-9a73-7938a5f3608b · outbound

This paper cites Shi, Ricci deformation of the metric on complete noncompact Riem annian manifolds, J.

Non-collapsing of Ricci shrinkers with bounded curvature Shi, Ricci deformation of the metric on complete noncompact Riem annian manifolds, J

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.272788Z

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Observation 7b026ea9-4e06-4dfc-bc33-34ee503cb6ed · outbound

This paper cites Shi, Ricci ﬂow and the uniformization on complete noncompact K¨ a hler manifolds , J.

Non-collapsing of Ricci shrinkers with bounded curvature Shi, Ricci ﬂow and the uniformization on complete noncompact K¨ a hler manifolds , J

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.245157Z

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Observation 041bc5f8-12f7-41cb-acb8-5a202ebf0d1c · outbound

This paper cites Wylie, Complete shrinking Ricci solitons have ﬁnite fundamental g roup, Proc.

Non-collapsing of Ricci shrinkers with bounded curvature Wylie, Complete shrinking Ricci solitons have ﬁnite fundamental g roup, Proc

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.220700Z

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Observation 2ad7f413-1772-4766-b966-23e122f93818 · outbound

This paper cites Y okota, Perelman’s reduced volume and a gap theorem for the Ricci ﬂow , Comm.

Non-collapsing of Ricci shrinkers with bounded curvature Y okota, Perelman’s reduced volume and a gap theorem for the Ricci ﬂow , Comm

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.198345Z

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Observation 0979d7af-e698-4161-b9e6-e20cba908c4c · outbound

This paper cites Y okota, Addendum to ‘Perelman’s reduced volume and a gap theorem for the Ricci ﬂow’ , Comm.

Non-collapsing of Ricci shrinkers with bounded curvature Y okota, Addendum to ‘Perelman’s reduced volume and a gap theorem for the Ricci ﬂow’ , Comm

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:12:22.163258Z

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