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Paper Citation Record · LEDGER

Warped products over one-dimensional base spaces and the RCD condition

As of 13 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2506.10809.

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pith.paper-citation-record.v1
2506.10809 v3

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:26:48.649152Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

53 of 53 outbound references displayed

  • verified exact3
  • verified fuzzy44
  • unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dabcd6bc-48a8-4a81-bcb1-36c9b31f9b4f · outbound

This paper cites Alexander and Richard L.

Warped products over one-dimensional base spaces and the RCD condition Alexander and Richard L

Reference 1

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation fe127d9d-1ac8-4893-8df5-7ae998edf769 · outbound

This paper cites Alexander and Richard L.

Warped products over one-dimensional base spaces and the RCD condition Alexander and Richard L

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 16f1e600-e383-4899-a582-de31bdc5c699 · outbound

This paper cites Alexander and Richard L.

Warped products over one-dimensional base spaces and the RCD condition Alexander and Richard L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:54.080439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 23de0c3e-0517-4ea9-a42d-2c7d9e81219d · outbound

This paper cites Alexander and Richard L.

Warped products over one-dimensional base spaces and the RCD condition Alexander and Richard L

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 33c9d99c-db0a-49af-9c97-05e48feb1e5a · outbound

This paper cites Gradient flows in metric spaces and in the space of probability measures.

Warped products over one-dimensional base spaces and the RCD condition Gradient flows in metric spaces and in the space of probability measures

Reference 5

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ffe08a24-e8b5-4dab-b8fc-d674e091136e · outbound

This paper cites Metric measure spaces with Rie- mannian Ricci curvature bounded from below.

Warped products over one-dimensional base spaces and the RCD condition Metric measure spaces with Rie- mannian Ricci curvature bounded from below

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a68b03b3-3772-471f-91c6-21352dbb49f7 · outbound

This paper cites Bakry- ´Emery curvature- dimension condition and Riemannian Ricci curvature bounds.

Warped products over one-dimensional base spaces and the RCD condition Bakry- ´Emery curvature- dimension condition and Riemannian Ricci curvature bounds

Reference 7

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 733f28be-49d9-4c74-be90-0d7a4829dad5 · outbound

This paper cites Nonlinear Diffusion Equa- tions and Curvature Conditions in Metric Measure Spaces.

Warped products over one-dimensional base spaces and the RCD condition Nonlinear Diffusion Equa- tions and Curvature Conditions in Metric Measure Spaces

Reference 8

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raw_fallback, observed 2026-08-07T04:26:54.041378Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 344fa5fa-8434-43b6-a19b-2ff8dbed53f5 · outbound

This paper cites Anderson.

Warped products over one-dimensional base spaces and the RCD condition Anderson

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f69f4e01-d947-4f38-b3e5-73b794abc684 · outbound

This paper cites Localization and tensorization properties of the curvature-dimension condition for metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

Reference 10

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d959be70-ccd4-4961-9a2a-665f5ee2a725 · outbound

This paper cites A course in metric geometry , vol- ume 33 of Graduate Studies in Mathematics.

Warped products over one-dimensional base spaces and the RCD condition A course in metric geometry , vol- ume 33 of Graduate Studies in Mathematics

Reference 11

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Observation 964d553c-33a5-4b41-aaf3-45ce83b7cfa7 · outbound

This paper cites Generalized cones admit- ting a curvature-dimension condition, 2025.

Warped products over one-dimensional base spaces and the RCD condition Generalized cones admit- ting a curvature-dimension condition, 2025

Reference 12

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6f0bb31f-2fd1-4ab4-a9cb-ed4ee895e9c5 · outbound

This paper cites The globalization theorem for the curvature- dimension condition.

Warped products over one-dimensional base spaces and the RCD condition The globalization theorem for the curvature- dimension condition

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 92c6e80d-d4ca-4cb1-91e2-1af702590357 · outbound

This paper cites Scalar and mean curvature comparison via the Dirac operator.

Warped products over one-dimensional base spaces and the RCD condition Scalar and mean curvature comparison via the Dirac operator

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:26:46.470224Z digest=sha256:77f62bfeb8066b88e3e58ddfe5663d7b48f4c532aea831aefaa1f5f08d730d49

Observation cdbb297c-575b-462a-b5ff-e52ae07b37d2 · outbound

This paper cites Differentiability of Lipschitz functions on metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition Differentiability of Lipschitz functions on metric measure spaces

Reference 15

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d32c1c74-2b6c-4b33-b8df-c5eb03ec9351 · outbound

This paper cites an unresolved cited work.

Warped products over one-dimensional base spaces and the RCD condition Unresolved cited work

Reference 16

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:26:46.603233Z digest=sha256:f53a49297c09a94050fcc774d2529ba0bf8a54f8b21664a626a8b644a2d89681

Observation bc7a3d01-c18e-41ba-8919-5f678c75f969 · outbound

This paper cites an unresolved cited work.

Warped products over one-dimensional base spaces and the RCD condition Unresolved cited work

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4c42c6a0-8e93-40fb-bad5-c7ed2cbb438d · outbound

This paper cites Almost volume cone implies almost metric cone for annuluses centered at a compact set in $RCD(K, N)$-spaces.

Warped products over one-dimensional base spaces and the RCD condition Almost volume cone implies almost metric cone for annuluses centered at a compact set in $RCD(K, N)$-spaces

Reference 18

Resolution
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local_arxiv, observed 2026-08-07T04:26:49.066346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 449b1836-8c0f-44e8-a3b0-736510029a33 · outbound

This paper cites Characterization of tangent cones of non- collapsed limits with lower Ricci bounds and applications.

Warped products over one-dimensional base spaces and the RCD condition Characterization of tangent cones of non- collapsed limits with lower Ricci bounds and applications

Reference 19

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.975361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:46.815110Z digest=sha256:d17df87df83407857303397cb7747d15ffd3718031255d7eedc6e5c1db5ef503

Observation 3742a366-afb6-428e-b569-bb8721b3cf30 · outbound

This paper cites Maximal volume entropy rigidity for RCD∗(−(N − 1), N) spaces.

Warped products over one-dimensional base spaces and the RCD condition Maximal volume entropy rigidity for RCD∗(−(N − 1), N) spaces

Reference 20

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.968285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation d092f540-4309-44d7-b50f-d8bb4983c859 · outbound

This paper cites From volume cone to metric cone in the non- smooth setting.

Warped products over one-dimensional base spaces and the RCD condition From volume cone to metric cone in the non- smooth setting

Reference 21

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.960869Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:46.969575Z digest=sha256:adee5f6d39f653f712cabff0057649ce3e1c2d56c0aec4318d555c91ee547c45

Observation 7cb06e50-17a2-4bf2-a5c8-f59b8d462123 · outbound

This paper cites H¨ older continuity of tangent cones in RCD(K, N) spaces and applications to nonbranching.

Warped products over one-dimensional base spaces and the RCD condition H¨ older continuity of tangent cones in RCD(K, N) spaces and applications to nonbranching

Reference 22

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation aadcb108-3885-449e-b4f8-d4cc9db93fc2 · outbound

This paper cites On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces

Reference 23

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.866905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.091861Z digest=sha256:54e3c13a90ef8656338d3b8a6655455ebb75b34ef3d27930618182571e46c7b9

Observation 5ea40292-159e-41d4-a85a-01e23d8c6546 · outbound

This paper cites The splitting theorem in non-smooth context.

Warped products over one-dimensional base spaces and the RCD condition The splitting theorem in non-smooth context

Reference 24

Resolution
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no resolver link, observed 2026-08-07T04:26:47.127428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:26:47.127428Z digest=sha256:3e68e9851e87fba212dc21b799de991fa36d9b8b02241f8ac5da2a51f8998e3c

Observation 44910695-dabc-47ef-9d6e-0ae36da65044 · outbound

This paper cites An overview of the proof of the splitting theorem in spaces with non- negative Ricci curvature.

Warped products over one-dimensional base spaces and the RCD condition An overview of the proof of the splitting theorem in spaces with non- negative Ricci curvature

Reference 25

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raw_fallback, observed 2026-08-07T04:26:53.794136Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.195069Z digest=sha256:bea5e19a2bb26420fef6fcaa477f2351631b06dd768f1bcba6ee2305e2bb1a74

Observation a8fc2a66-4cc7-46e6-990a-a201ce78bce5 · outbound

This paper cites On the differential structure of metric measure spaces and applications.

Warped products over one-dimensional base spaces and the RCD condition On the differential structure of metric measure spaces and applications

Reference 26

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.619449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.243079Z digest=sha256:4700588624448797a17b1df24a9c90d6d79e895fe657a53657381467da7d110c

Observation a0f119b3-2df3-49e9-b9ab-0822c1033ce3 · outbound

This paper cites Nonsmooth differential geometry—an approach tailored for spaces with Ricci curvature bounded from below.

Warped products over one-dimensional base spaces and the RCD condition Nonsmooth differential geometry—an approach tailored for spaces with Ricci curvature bounded from below

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-07T04:26:53.482786Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.279521Z digest=sha256:6dac2998f19393ef2bf6b70b04a96a5407e63ed265748cb924c73812d40d46b3

Observation 3af4633b-bba9-4547-b6ba-aba2e7adbc50 · outbound

This paper cites De Giorgi and Gromov working together.

Warped products over one-dimensional base spaces and the RCD condition De Giorgi and Gromov working together

Reference 28

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no resolver link, observed 2026-08-07T04:26:47.345826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:26:47.345826Z digest=sha256:c4b9dfe3946dd17befe0a02fc7a5d273c8bd8b8a58ad484f415e80949d157dc5

Observation 38001d86-8993-4623-9087-7982ad32d7af · outbound

This paper cites Sobolev spaces on warped products.

Warped products over one-dimensional base spaces and the RCD condition Sobolev spaces on warped products

Reference 29

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.381833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.388170Z digest=sha256:fd50abcd176bef8da4dfd27f6910cb7879edc95791f30faf65d04d3e62489a4c

Observation db3c206d-19c2-4d95-ade5-6ebaa4cb2678 · outbound

This paper cites Heat flow on Alexandrov spaces.

Warped products over one-dimensional base spaces and the RCD condition Heat flow on Alexandrov spaces

Reference 30

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.207820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.420341Z digest=sha256:2f3dd911a1b7c0232741ab056ce728f28f18706a7f2f8307c8833c76380af70b

Observation c90bc458-18e0-4c08-8510-17fdb7ef5648 · outbound

This paper cites A general splitting principle on RCD spaces and applications to spaces with positive spectrum.

Warped products over one-dimensional base spaces and the RCD condition A general splitting principle on RCD spaces and applications to spaces with positive spectrum

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:26:48.933559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.478150Z digest=sha256:c4f7fcd88b84ee6d32714c7d23e4e006c7ad494de185af633dc026b5faaddbcd

Observation 6a83b0e1-c017-4bdd-9a3b-2e4146e3bc1e · outbound

This paper cites Convergence of pointed non- compact metric measure spaces and stability of Ricci curvature bounds and heat flows.

Warped products over one-dimensional base spaces and the RCD condition Convergence of pointed non- compact metric measure spaces and stability of Ricci curvature bounds and heat flows

Reference 32

Resolution
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raw_fallback, observed 2026-08-07T04:26:53.034128Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.525508Z digest=sha256:af656c734e521bfa52ee455f2f1957bc1a16560d70de39e623594ec7b15d1e06

Observation b825b1f5-7c03-4957-bb1d-e0fe31070266 · outbound

This paper cites Sobolev met Poincar´ e.

Warped products over one-dimensional base spaces and the RCD condition Sobolev met Poincar´ e

Reference 33

Resolution
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raw_fallback, observed 2026-08-07T04:26:52.850543Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.559685Z digest=sha256:4fc30e7f1728b380a38878ff5134747ff6402b5b9133e147bd9f90ff45339c55

Observation 11f9f1d4-a609-4874-b2e4-a7235b35049b · outbound

This paper cites Lower Ricci curvature and nonex- istence of manifold structure.

Warped products over one-dimensional base spaces and the RCD condition Lower Ricci curvature and nonex- istence of manifold structure

Reference 34

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raw_fallback, observed 2026-08-07T04:26:52.709676Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.602917Z digest=sha256:bc9b70d506a1128431b3ba4d380fee735b06327c8c5f37fe8525956906e4e4cb

Observation a543fb9a-f5bd-4705-b617-5c7b97ef58bc · outbound

This paper cites CD meets CAT.

Warped products over one-dimensional base spaces and the RCD condition CD meets CAT

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-07T04:26:52.587947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.668494Z digest=sha256:38f1b0169e14084ba858e60fbd9d4e61dc79f5a8a2a544cd679d401989c53e59

Observation 7db17550-822e-4cf0-b610-7ccc872105b4 · outbound

This paper cites Ricci curvature bounds for warped products.

Warped products over one-dimensional base spaces and the RCD condition Ricci curvature bounds for warped products

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:52.434886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.727642Z digest=sha256:4c1353e933af4409311971e58fba3bccdf31d64493dbbbc9820cb8d353e3d62b

Observation 265244c6-a38e-4903-877a-0ed9ccd7bcdd · outbound

This paper cites Cones over metric measure spaces and the maximal diameter theorem.

Warped products over one-dimensional base spaces and the RCD condition Cones over metric measure spaces and the maximal diameter theorem

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:52.235178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.776670Z digest=sha256:dc54f9ce53523faa8255f7bcad0b223ac7ae4bca3f424b58940e2ef89fb99fb0

Observation fb835f60-bf8c-484e-8053-89c6940bfb4a · outbound

This paper cites Obata’s rigidity theorem for metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition Obata’s rigidity theorem for metric measure spaces

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:52.101886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.838965Z digest=sha256:ab609cd91984984df4be1d7e8c9559e0389e67fead82433c5b542a5d16003d06

Observation da7045cf-4b5d-4ac4-9692-d1e0de041c54 · outbound

This paper cites Warped products and synthetic lower curvature bounds: an overview.

Warped products over one-dimensional base spaces and the RCD condition Warped products and synthetic lower curvature bounds: an overview

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:26:48.783102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.895027Z digest=sha256:86c1a6bf5d3e3e80c091f2729744c2437a6ac846eb801102a66704423f0219c8

Observation 2210477a-e624-4235-a7cb-c3bb338fd11d · outbound

This paper cites Geometry and analysis of Dirichlet forms.Adv.

Warped products over one-dimensional base spaces and the RCD condition Geometry and analysis of Dirichlet forms.Adv

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:51.914974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.937579Z digest=sha256:421dabd16f9d5e138d3495c63c89f10d42c86f2b9afd25afc027db84aaa9d830

Observation a84ef434-fce6-43a1-9f1a-b5471f38e8b7 · outbound

This paper cites Infinitesimal Bishop-Gromov condition for Alexandrov spaces.

Warped products over one-dimensional base spaces and the RCD condition Infinitesimal Bishop-Gromov condition for Alexandrov spaces

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:51.655894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:47.995496Z digest=sha256:758861d4835ebd47c3cc57458368c1403a2a672935295ff9adb41e2d4d863ea6

Observation 108ca575-1026-4230-a2f8-fa56832aa470 · outbound

This paper cites Some geometric properties of the Bakry- ´Emery-Ricci tensor.

Warped products over one-dimensional base spaces and the RCD condition Some geometric properties of the Bakry- ´Emery-Ricci tensor

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:51.423605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.041803Z digest=sha256:5dfb3b4e9ceedc565378394fc6edb289ce4edac7ccc537b5b92424b6f296ca52

Observation 04fc1076-ff1f-48ca-884c-6e3ac7149c34 · outbound

This paper cites Ricci curvature for metric-measure spaces via optimal transport.

Warped products over one-dimensional base spaces and the RCD condition Ricci curvature for metric-measure spaces via optimal transport

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:51.223179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.085317Z digest=sha256:1de7b02248423af2aeef5a236efd39e24388b569b98caadf4f2b89ca28cef5c1

Observation c3b7e504-81d9-441a-be6e-d1a400e5bfa0 · outbound

This paper cites Ricci curvature in dimension 2.

Warped products over one-dimensional base spaces and the RCD condition Ricci curvature in dimension 2

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:50.887469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.150730Z digest=sha256:283c2c22af36c3c5dee9ec57e4f5ac2706026f04de5c504bfd6d4fb991a2b15e

Observation 2d906eb3-b650-42f2-89b1-18e790650013 · outbound

This paper cites On the measure contraction property of metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition On the measure contraction property of metric measure spaces

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:50.708803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.188965Z digest=sha256:5448a0f57f9e09a8a7431ad7bc485eb1254cc45647a9e24778e47ac6ff6313de

Observation 22287281-3fba-44d8-8f1f-1c401ff6497a · outbound

This paper cites Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm.

Warped products over one-dimensional base spaces and the RCD condition Interpolated measures with bounded density in metric spaces satisfying the curvature-dimension conditions of Sturm

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:50.537556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.219233Z digest=sha256:b0dfee28df5e928ae09fd62576b2147675f8c03645ef39a56c0b8de3a9065782

Observation fb4911c4-f0cb-4414-8e94-16ccef3bbf43 · outbound

This paper cites Methods of modern mathematical physics.

Warped products over one-dimensional base spaces and the RCD condition Methods of modern mathematical physics

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:50.342918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.307541Z digest=sha256:6f558701192710102f4bac1cf3bf8440e47b2bc0cc98fd8bcb230f9929174b3a

Observation 6143b481-92ac-4321-a40f-18af631d63af · outbound

This paper cites Self-improvement of the Bakry-´Emery condition and Wasserstein contraction of the heat flow in RCD( K, ∞) metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition Self-improvement of the Bakry-´Emery condition and Wasserstein contraction of the heat flow in RCD( K, ∞) metric measure spaces

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:50.201293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.348867Z digest=sha256:46c79af3236575ad409ef32a5d941dc27a81bef76a7c139b1a94a641530be724

Observation 84018b35-3d79-420c-983f-e88d3e89e6b0 · outbound

This paper cites Analysis on local Dirichlet spaces.

Warped products over one-dimensional base spaces and the RCD condition Analysis on local Dirichlet spaces

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:49.979078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.374605Z digest=sha256:5e84c0dfed5e96deaca00d9ebe2763fefcec761c079c16b4d64056a80661979c

Observation 36685870-d58d-4d1f-9f1c-7c4a23feb5a7 · outbound

This paper cites Analysis on local Dirichlet spaces.

Warped products over one-dimensional base spaces and the RCD condition Analysis on local Dirichlet spaces

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:49.810840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.433735Z digest=sha256:a13cd4abd719141f0cf8be0378afbc62a922f2c4c62af9dd8365402b3f323f08

Observation 7aa9bc29-6f1b-43ae-a2d6-7f1dfa7c18d5 · outbound

This paper cites On the geometry of metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition On the geometry of metric measure spaces

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:49.634872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.520080Z digest=sha256:9eff5345daf69f5c3329033b61f3c710992329b350b33256be88cdfac7dac3e3

Observation 8aebf0f2-1fe8-4f34-8fc7-86cccc923f6a · outbound

This paper cites On the geometry of metric measure spaces.

Warped products over one-dimensional base spaces and the RCD condition On the geometry of metric measure spaces

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:49.406901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.613163Z digest=sha256:2793ef833c5fa4fa2083148c83d21ed2723ea999be45616dc93375c27ec4e5a9

Observation 5a56a064-2c29-4982-84d9-942824898194 · outbound

This paper cites Bakry-´ emery, Hardy, and spectral gap estimates on manifolds with conical singularities.

Warped products over one-dimensional base spaces and the RCD condition Bakry-´ emery, Hardy, and spectral gap estimates on manifolds with conical singularities

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:26:49.237135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:26:48.649152Z digest=sha256:5c1535c857fbed68f5b44c69638327cd1646c9504d531b88b15fb88e0e89296c

Pith citing papers

No inbound Pith citation observations are available.