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Paper Citation Record · LEDGER

Rigidity of Wasserstein spaces over Riemannian manifolds

As of 6 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2606.21986.

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pith.paper-citation-record.v1
2606.21986 v1

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measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-26T11:33:35.903238Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

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30 of 30 outbound references displayed

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Outbound references

Observation 34c65c46-410a-43ce-a332-8222ef300139 · outbound

This paper cites A user's guide to optimal transport.

Rigidity of Wasserstein spaces over Riemannian manifolds A user's guide to optimal transport

Reference 1

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:8d0fa7376b6fce76775395945086a4ef2e5f146ea1a86315cf701d2611cf6e30

Observation ac543746-6c68-4d04-9dfb-bf889db72d27 · outbound

This paper cites On the structure of the geometric tangent cone to the W asserstein space.

Rigidity of Wasserstein spaces over Riemannian manifolds On the structure of the geometric tangent cone to the W asserstein space

Reference 2

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:b7d485d23525d181eebfedd384f0d0619ee2798d6af234fb8de91f75df352d48

Observation 76c4901d-00c6-4653-9639-8314804360ba · outbound

This paper cites Locality of centred tangent cones in the wasserstein space.

Rigidity of Wasserstein spaces over Riemannian manifolds Locality of centred tangent cones in the wasserstein space

Reference 3

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:2208a30995f6ec32422f7558dcec3ecf4ee9c56c9e217ffce4f84c5aa0c7f094

Observation bc09f1ba-4f02-496e-9c55-f43de9fa2bc4 · outbound

This paper cites A course in metric geometry , volume 33 of Graduate Studies in Mathematics.

Rigidity of Wasserstein spaces over Riemannian manifolds A course in metric geometry , volume 33 of Graduate Studies in Mathematics

Reference 4

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:fb134c2d84b2d6165b4bf0dc195bfc2373d460534571560b41aed5c84e54cd64

Observation 8061c869-3f96-4603-ac75-421756a83313 · outbound

This paper cites Kloeckner.

Rigidity of Wasserstein spaces over Riemannian manifolds Kloeckner

Reference 5

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:85ff4b1f94a259dabaa77477c5196cd8b6eb3012d05afc743023ae79acfc5feb

Observation d55e51b8-efc5-42d8-9be8-2d21d4c56866 · outbound

This paper cites Balogh, Tam\'as Titkos, and D\'aniel Virosztek.

Rigidity of Wasserstein spaces over Riemannian manifolds Balogh, Tam\'as Titkos, and D\'aniel Virosztek

Reference 6

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:373bea93d319f95c4c5d78ea8afa6b29c51feb7df996f2c2e588ee0ae6559c79

Observation d9f455a5-9b76-479b-b3e5-3eaecce24325 · outbound

This paper cites Isometric rigidity of metric constructions with respect to W asserstein spaces.

Rigidity of Wasserstein spaces over Riemannian manifolds Isometric rigidity of metric constructions with respect to W asserstein spaces

Reference 7

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:b136569446ad11066cfd2884566847d2e6716eaa881d85957d1448a855887960

Observation fd4b44a9-f287-467b-b220-34b104967dca · outbound

This paper cites Eschenburg and E.

Rigidity of Wasserstein spaces over Riemannian manifolds Eschenburg and E

Reference 8

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:0b11df953b8a0d6ebca0145eca8f4940cce5d6243fec183c5fa167eceafcc73b

Observation 923ecc6f-2677-430c-a0ca-3ef194447c70 · outbound

This paper cites The de R ham decomposition theorem for metric spaces.

Rigidity of Wasserstein spaces over Riemannian manifolds The de R ham decomposition theorem for metric spaces

Reference 9

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:3bce63f707583adb591f8204a9b6b117a9e0270d77a702902782bca2bdd1039f

Observation 7b59fd68-4dd8-4ff1-9293-7923c714c544 · outbound

This paper cites On the inverse implication of B renier- M c C ann theorems and the structure of (P_2(M),W_2).

Rigidity of Wasserstein spaces over Riemannian manifolds On the inverse implication of B renier- M c C ann theorems and the structure of (P_2(M),W_2)

Reference 10

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:594c9a1e354806bf96a5372d64eb6f6bc9ae1c2003524c23cf046640e039dc31

Observation ccdedeb0-083a-4f3c-b7a0-6daaab84dfeb · outbound

This paper cites Second order analysis on (P_2(M),W_2).

Rigidity of Wasserstein spaces over Riemannian manifolds Second order analysis on (P_2(M),W_2)

Reference 11

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:752f2197321e6a27a4a2275ba60f1e6ad297b9d42ff014670697613fe8d568fc

Observation ee3f9f1c-cb06-4050-aa48-9cf48a8ea9da · outbound

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Rigidity of Wasserstein spaces over Riemannian manifolds Unresolved cited work

Reference 12

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:1ce846293aacabe61924d39922bf48417a058dfcdac1c7112c3a67f990aa1827

Observation fd47b79e-600f-44e0-87fc-c8eefcc9e401 · outbound

This paper cites On isometric embeddings of W asserstein spaces---the discrete case.

Rigidity of Wasserstein spaces over Riemannian manifolds On isometric embeddings of W asserstein spaces---the discrete case

Reference 13

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:5716ba06e7b1b8717c2455eb4ae6bea963b99d2395e5f263816ff80c3ae98e34

Observation 82b8b6c2-cc2d-43da-811c-700b2997dd97 · outbound

This paper cites Isometric study of W asserstein spaces---the real line.

Rigidity of Wasserstein spaces over Riemannian manifolds Isometric study of W asserstein spaces---the real line

Reference 14

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:74714d18a7ddce2e78e62e83552315dec26601c502629ca98ed3fa5b1e7c993a

Observation 7e71257a-a911-4a83-8cd7-38f2c2409dd2 · outbound

This paper cites The isometry group of W asserstein spaces: the H ilbertian case.

Rigidity of Wasserstein spaces over Riemannian manifolds The isometry group of W asserstein spaces: the H ilbertian case

Reference 15

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:e43c0c3f066a34806c9ead44172e91d0be62dc7e532f907c8a7d4e8ebec4c38c

Observation 16593778-d197-4f77-9980-25f682d35bb6 · outbound

This paper cites Isometric rigidity of W asserstein tori and spheres.

Rigidity of Wasserstein spaces over Riemannian manifolds Isometric rigidity of W asserstein tori and spheres

Reference 16

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:ea439e532c120fa788916f3421afa7fb0c170d2468affd366471a2e54fbd8796

Observation a1adc196-c427-4b10-b644-7cac6affb216 · outbound

This paper cites Outer automorphisms of S_6.

Rigidity of Wasserstein spaces over Riemannian manifolds Outer automorphisms of S_6

Reference 17

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:c0ed42b81d5b8d957f92150d6e5c9363ca0b9fc195012944264abae911492f92

Observation 0aad201b-7e12-4e33-a175-afee4221ef8d · outbound

This paper cites A geometric study of W asserstein spaces: E uclidean spaces.

Rigidity of Wasserstein spaces over Riemannian manifolds A geometric study of W asserstein spaces: E uclidean spaces

Reference 18

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:1d245cf4be4972024aad3311fcd05a4ba5deea1fbf04dc8ef3e5cfbc4cfc2e68

Observation 6e02a3ca-33c3-41d2-a7e9-100c09d8eef5 · outbound

This paper cites Isometric rigidity of W asserstein spaces: the graph metric case.

Rigidity of Wasserstein spaces over Riemannian manifolds Isometric rigidity of W asserstein spaces: the graph metric case

Reference 19

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:8bf3bc93b6b0ea031718ad52ebb1cf05b30d4ed8a7413a8b3c90d103998b76da

Observation a76a0fd7-fe00-4b6a-b5a6-4eab525d34e2 · outbound

This paper cites Orbifolds from a metric viewpoint.

Rigidity of Wasserstein spaces over Riemannian manifolds Orbifolds from a metric viewpoint

Reference 20

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:b62968b12fff3bc85f59498cad0a738e1cf392780c61f0321049295638498aa3

Observation 65fd118a-43ae-46d9-bd42-f87e1c38b886 · outbound

This paper cites Some geometric calculations on W asserstein space.

Rigidity of Wasserstein spaces over Riemannian manifolds Some geometric calculations on W asserstein space

Reference 21

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:ed8121d31e04242e4744aa0ef67e8439a53ad47dc1e1abc4630d9ce526030788

Observation c604a420-b1d2-4956-b939-0c34edbe1d77 · outbound

This paper cites On tangent cones in W asserstein space.

Rigidity of Wasserstein spaces over Riemannian manifolds On tangent cones in W asserstein space

Reference 22

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:5363bd5e6b63e143c26b579cbacde917e8a80d63db430a7cc6977dbd7314c538

Observation bf1e4801-8fbb-4411-9d91-c39464da0f3b · outbound

This paper cites Curvature explosion in quotients and applications.

Rigidity of Wasserstein spaces over Riemannian manifolds Curvature explosion in quotients and applications

Reference 23

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:0291bdc8c609fe37ad0b8903a29974f97b7b8abb4fb81609b96368642b640513

Observation 9b1031a0-a112-40bc-9c6b-a98ce158c6e3 · outbound

This paper cites Differentiation in metric spaces.

Rigidity of Wasserstein spaces over Riemannian manifolds Differentiation in metric spaces

Reference 24

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:74d295f5cc1ffcbf3439a6cecfebc316a6ca04927bb2ec592390defe3c5a8c5e

Observation 0840cb84-e018-44e6-9ce1-e02420c38812 · outbound

This paper cites Gradient flows on W asserstein spaces over compact A lexandrov spaces.

Rigidity of Wasserstein spaces over Riemannian manifolds Gradient flows on W asserstein spaces over compact A lexandrov spaces

Reference 25

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:b436f74eea87f707a08247df85934f18e59a926afc16598d116cae23cf4951ac

Observation 5e12f6f0-c2b0-4222-b6e1-1123258c561c · outbound

This paper cites The geometry of dissipative evolution equations: the porous medium equation.

Rigidity of Wasserstein spaces over Riemannian manifolds The geometry of dissipative evolution equations: the porous medium equation

Reference 26

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:7bfe0b015fd5dd0b024ac16a8976236bb5ccdf540ac399d75b34817e1db55e0e

Observation 000a5207-f901-4ea3-b342-18923c0ac339 · outbound

This paper cites Computational optimal transport.

Rigidity of Wasserstein spaces over Riemannian manifolds Computational optimal transport

Reference 27

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:a5a070670bf12dce3a1b76064bab88c765dc8d7a03187c630c2888d33d726886

Observation 341d0b9c-6ef1-4099-97a0-9459cb1058ed · outbound

This paper cites On isometries of compact L^p - W asserstein spaces.

Rigidity of Wasserstein spaces over Riemannian manifolds On isometries of compact L^p - W asserstein spaces

Reference 28

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:f1a4aa90eade65f3c09b78161ab6e38d373e9aaed26262079c2e18733d43f973

Observation d3b4e897-7136-4328-ac47-3afa225759a3 · outbound

This paper cites Thurston.

Rigidity of Wasserstein spaces over Riemannian manifolds Thurston

Reference 29

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:ea010f9a61e08d8e39f1e7194a55d2644ddf158635f08d0caf0596bb68416579

Observation f37c03a1-b0cc-41de-a9ce-59a286064072 · outbound

This paper cites Optimal transport.

Rigidity of Wasserstein spaces over Riemannian manifolds Optimal transport

Reference 30

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source=arxiv_source observed=2026-06-26T11:33:35.903238Z digest=sha256:df64b13ef618c34ce6eb7acb72223c07a0313240a05ceab9e2b24e4f9714a01b

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