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Paper Citation Record · LEDGER

A Lorentzian splitting theorem for continuously differentiable metrics and weights

As of 11 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 4 inbound Pith citation observations for arXiv:2507.06836.

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

pith.paper-citation-record.v1
2507.06836 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:16:22.856051Z

measured 69 of 69 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-26T11:30:54.786651Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T08:29:42.396610Z

Reference resolution

65 of 65 outbound references displayed

  • verified exact2
  • verified fuzzy45
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a930f60-283c-475b-adda-431b3e7fdfba · outbound

This paper cites Ambrosio.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Ambrosio

Reference 1

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f2230192-4002-4cc5-84b8-d5993bd89010 · outbound

This paper cites Bakry and Michel ´Emery.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Bakry and Michel ´Emery

Reference 2

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Observation cbe4cca2-fd4e-470a-bac2-debcfd4a7d81 · outbound

This paper cites Beem, Paul E.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Beem, Paul E

Reference 3

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 6fce1f4d-a810-429f-bbdb-53615dcdd824 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 4

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Observation bfeca220-f6e2-4f28-b1c4-268b8a2c5d9b · outbound

This paper cites A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes.

A Lorentzian splitting theorem for continuously differentiable metrics and weights A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes

Reference 5

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Observation 51d57707-445b-4c99-b47a-43d7b7071edf · outbound

This paper cites Ordinary differential equations.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Ordinary differential equations

Reference 6

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation c0cbf69f-322a-4475-8c67-ae669a5f875b · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 7

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Observation 03599bad-2a28-4d03-b141-cc70e2bb74ae · outbound

This paper cites R´ enyi’s entropy on Lorentzian spaces.

A Lorentzian splitting theorem for continuously differentiable metrics and weights R´ enyi’s entropy on Lorentzian spaces

Reference 8

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b3fbc1e4-5916-431a-8e04-ef93f8d4d46e · outbound

This paper cites Exact d'Alembertian for Lorentz distance functions.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Exact d'Alembertian for Lorentz distance functions

Reference 9

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Observation bb0b733c-38c7-45d1-bd10-21fb86cb5f1b · outbound

This paper cites New perspectives on the d’Alembertian from general relativity.

A Lorentzian splitting theorem for continuously differentiable metrics and weights New perspectives on the d’Alembertian from general relativity

Reference 10

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Observation 23ce7d29-66d4-4128-960e-fdfa9b1532a2 · outbound

This paper cites Timelike Ricci bounds for low regularity spacetimes by optimal transport.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Timelike Ricci bounds for low regularity spacetimes by optimal transport

Reference 11

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Observation 4189471b-c623-4eca-a183-45454848e80e · outbound

This paper cites An elliptic proof of the splitting theorems from Lorentzian geometry.

A Lorentzian splitting theorem for continuously differentiable metrics and weights An elliptic proof of the splitting theorems from Lorentzian geometry

Reference 12

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Observation 2c7030d3-2bf5-465f-a348-fab6eeee6523 · outbound

This paper cites Caffarelli, M.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Caffarelli, M

Reference 13

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Observation 157faa7e-42f1-4cc1-8636-ed10fe521e75 · outbound

This paper cites On the smoothness of isometries.

A Lorentzian splitting theorem for continuously differentiable metrics and weights On the smoothness of isometries

Reference 14

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Observation bfa2bdc4-673c-4014-a466-983fe7209963 · outbound

This paper cites Hawking’s singularity theorem for Lipschitz Lorentzian metrics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Hawking’s singularity theorem for Lipschitz Lorentzian metrics

Reference 15

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Observation 2867f513-4130-4bf6-bf88-00cbedebcfc2 · outbound

This paper cites Splitting theorems for weighted Finsler spacetimes via the $p$-d'Alembertian: beyond the Berwald case.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Splitting theorems for weighted Finsler spacetimes via the $p$-d'Alembertian: beyond the Berwald case

Reference 16

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Observation 4b300966-25b1-4612-8680-ba74d4c4b222 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 17

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Observation 8d90d85d-e157-4f55-a246-da01c89e8fcd · outbound

This paper cites On the geometry of synthetic null hypersurfaces.

A Lorentzian splitting theorem for continuously differentiable metrics and weights On the geometry of synthetic null hypersurfaces

Reference 18

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Observation 2215153b-2d36-4ee0-8746-4d4bed10d823 · outbound

This paper cites Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

Reference 19

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Observation 4d4b5bca-cd52-44d6-a72f-ff5f32bb8a7e · outbound

This paper cites Optimal transport in Lorentzian syn- thetic spaces, synthetic timelike Ricci curvature lower bounds and applications.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Optimal transport in Lorentzian syn- thetic spaces, synthetic timelike Ricci curvature lower bounds and applications

Reference 20

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Observation f39d457f-7a96-481c-b9d8-a8ef5baa169e · outbound

This paper cites The splitting theorem for manifolds of non- negative Ricci curvature.

A Lorentzian splitting theorem for continuously differentiable metrics and weights The splitting theorem for manifolds of non- negative Ricci curvature

Reference 21

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Observation 6521d099-ff23-4ca2-8d39-1078cc260788 · outbound

This paper cites Chru´ sciel and James D.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Chru´ sciel and James D

Reference 22

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Observation 96ceb83b-f55e-4449-8271-d986c8973801 · outbound

This paper cites Eschenburg.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Eschenburg

Reference 23

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Observation d112e8e4-3bdc-475c-b147-7a83a3ab592d · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 24

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Observation 54cd3645-7f02-4d4f-8205-8018e9780fdf · outbound

This paper cites Evans and W.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Evans and W

Reference 25

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Observation 9e12acd3-cabb-49c2-a939-674cbf32037a · outbound

This paper cites Feldman and R.J.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Feldman and R.J

Reference 26

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Observation b8e32f2c-5fae-497a-9d89-d2782dfa9787 · outbound

This paper cites Galloway.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Galloway

Reference 27

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Observation 5bfe3460-9c88-4a87-aa93-633eb3e0ba1d · outbound

This paper cites A note on the Lorentzian splitting theorem.

A Lorentzian splitting theorem for continuously differentiable metrics and weights A note on the Lorentzian splitting theorem

Reference 28

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local_arxiv, observed 2026-08-06T19:16:23.142116Z

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Observation 2651bda8-e1f1-4390-ae97-8d431e987d34 · outbound

This paper cites Strings and other distributional sources in general relativity.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Strings and other distributional sources in general relativity

Reference 29

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation bcb61d69-7258-4ec4-9575-67a94a45d529 · outbound

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

A Lorentzian splitting theorem for continuously differentiable metrics and weights An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature

Reference 30

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Observation 4aa78ed5-4252-45f5-9e55-16f87aec736e · outbound

This paper cites The splitting theorem in nonsmooth context.

A Lorentzian splitting theorem for continuously differentiable metrics and weights The splitting theorem in nonsmooth context

Reference 31

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Observation cede061b-1cf6-44a1-9ec3-ff343cf6f347 · outbound

This paper cites Trudinger.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Trudinger

Reference 32

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:16:18.678800Z digest=sha256:d42c0dddd2dff3c5784d9b8bc433af7dd2ddaee970f8b2012af6944cb4cd85f7

Observation e0a8a064-a275-4687-a3c2-7a7f622dc60b · outbound

This paper cites Singularity theorems for C 1-Lorentzian metrics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Singularity theorems for C 1-Lorentzian metrics

Reference 33

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation df16ad6c-aea2-4234-a7d6-08fae63f078b · outbound

This paper cites On isometries and on a theorem of Liouville.

A Lorentzian splitting theorem for continuously differentiable metrics and weights On isometries and on a theorem of Liouville

Reference 34

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raw_fallback, observed 2026-08-06T19:16:28.319320Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation bb6a6bd4-74ae-47a3-bc3f-132c744ed079 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 6fe0adc0-ec0e-4a83-9553-b978cb646aee · outbound

This paper cites Needle decompositions in Riemannian geometry.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Needle decompositions in Riemannian geometry

Reference 36

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source=pdf_text observed=2026-08-06T19:16:18.981873Z digest=sha256:944a7e01b72ff950fe01fc214347579a1800f0cc5e6e7df2f0db49c606138534

Observation 5bb98a04-03b0-4f6f-815c-bf4974e001ea · outbound

This paper cites The Hawking-Penrose singularity theorem for C 1-Lorentzian metrics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights The Hawking-Penrose singularity theorem for C 1-Lorentzian metrics

Reference 37

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raw_fallback, observed 2026-08-06T19:16:28.271731Z

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source=pdf_text observed=2026-08-06T19:16:19.063709Z digest=sha256:1e80393812ad44d223fb7812749833cf34a5e61be7ed41be850ddad6331410bc

Observation 3233025d-0bde-4713-b450-27629b7859e6 · outbound

This paper cites Lorentzian length spaces.Ann.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Lorentzian length spaces.Ann

Reference 38

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:16:19.157095Z digest=sha256:3a1211eb1f2c6a46c8ae75df96404a11854e8156e7e9bc102d49b3dca9c3022f

Observation 2f566f3e-23c2-4657-b63f-93856ad07be1 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-06T19:16:19.230159Z digest=sha256:3926e1a2504a174e9e7c1f9a866424d2b66311bb78efa19b2871d5fffeba8438

Observation 2070b612-5b15-4e2d-bb81-553852caf0b1 · outbound

This paper cites Lorentz meets Lipschitz.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Lorentz meets Lipschitz

Reference 40

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source=pdf_text observed=2026-08-06T19:16:19.339000Z digest=sha256:1f3d8afa297c18f50ce6c4cc0039c79c0ee12b426a220e79faa6b7490167e377

Observation f61afeb9-67df-4d3d-a033-b880c41b93df · outbound

This paper cites LeFloch and Cristinel Mardare.

A Lorentzian splitting theorem for continuously differentiable metrics and weights LeFloch and Cristinel Mardare

Reference 41

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source=pdf_text observed=2026-08-06T19:16:19.439790Z digest=sha256:cb359b97e415f29735c4637b57b29fb53ce52b3c93ed24bbdc3a0d6061882106

Observation 296c23f9-769e-4f16-9108-bbc7cb766d1f · outbound

This paper cites Geometry of weighted Lorentz- Finsler manifolds II: A splitting theorem.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Geometry of weighted Lorentz- Finsler manifolds II: A splitting theorem

Reference 42

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source=pdf_text observed=2026-08-06T19:16:19.543807Z digest=sha256:a42ebd3fe70e41d5ab3ec49b8788a7bd2ea0d2467f65d4bde66fbbb6be5b16f7

Observation f6b5f082-759d-492f-bdd6-f8ab7f9b5b69 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-06T19:16:19.620553Z digest=sha256:e31535be2fa06f379d70be537987bf7fdb20fc2d3cda9dfa25d861f3d08873c1

Observation dd9df1f7-543c-4334-a19d-59d2c47be09e · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 44

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source=pdf_text observed=2026-08-06T19:16:19.694964Z digest=sha256:efe1a55bcf4aa0327a67bb005659097581ff09299cbc77c69e94cf30dd30e9cf

Observation f301d709-5e0d-4475-816d-d1f5b71f57ff · outbound

This paper cites Structure theory of metric measure spaces with lower Ricci curvature bounds.J.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Structure theory of metric measure spaces with lower Ricci curvature bounds.J

Reference 45

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source=pdf_text observed=2026-08-06T19:16:19.813190Z digest=sha256:56e863577aa73fc0a320811027b59ecf568d22cd079566dc09e572f2ba041c64

Observation 0beec40d-9e41-4e24-9136-96c8125b2923 · outbound

This paper cites An optimal transport formulation of the Einstein equations of general relativity.

A Lorentzian splitting theorem for continuously differentiable metrics and weights An optimal transport formulation of the Einstein equations of general relativity

Reference 46

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raw_fallback, observed 2026-08-06T19:16:27.415759Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:19.914403Z digest=sha256:77551526ae8a500efb58533e945d7e0f760223450b34786cf43d48ad8974230b

Observation 6164fafb-7342-4da6-b005-b2aea933192a · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 47

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:20.016444Z digest=sha256:90d1fe743aec5ed723597c22d7f9cf492b4f97d39021d905694e0ba51342b219

Observation 3b6f0ca5-7ce9-4d94-a72c-8725d03746f2 · outbound

This paper cites The existence of complete Riemannian metrics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights The existence of complete Riemannian metrics

Reference 48

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raw_fallback, observed 2026-08-06T19:16:27.039280Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:20.151439Z digest=sha256:e7a2943b5b76c89fa897070884333c3998668bf71a158a091302232a0d6c2082

Observation 0a726505-74c2-4f92-8988-df407fefc515 · outbound

This paper cites On the curvature and heat flow on Hamiltonian systems.

A Lorentzian splitting theorem for continuously differentiable metrics and weights On the curvature and heat flow on Hamiltonian systems

Reference 49

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raw_fallback, observed 2026-08-06T19:16:26.799148Z

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source=pdf_text observed=2026-08-06T19:16:20.318800Z digest=sha256:72c3601b5943084893bf8030a3af646eb7ce6ea1f257137c3214db65a9aa4544

Observation 4ad79790-c1a0-42a5-ad95-47a65cd0e1b0 · outbound

This paper cites Semi-Riemannian geometry, volume 103 of Pure and Applied Mathematics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Semi-Riemannian geometry, volume 103 of Pure and Applied Mathematics

Reference 50

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raw_fallback, observed 2026-08-06T19:16:26.504790Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:20.510436Z digest=sha256:184439c8b5993ead9a30635ead8fe492a8a26d679cbd32fdf2fe34a4842ba80f

Observation 89a40518-6b5e-46f9-bc9e-0a0af5b3666d · outbound

This paper cites Gravitational collapse and space-time singularities.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Gravitational collapse and space-time singularities

Reference 51

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raw_fallback, observed 2026-08-06T19:16:26.320958Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:20.654724Z digest=sha256:e997493925306e402b9717afa305b0439b735fae1cf9c01c949083955ab89267

Observation b97692f0-c72d-4771-a9b3-7b4a30c9e9f1 · outbound

This paper cites Global hyperbolicity for spacetimes with continuous metrics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Global hyperbolicity for spacetimes with continuous metrics

Reference 52

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raw_fallback, observed 2026-08-06T19:16:26.139445Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:20.813668Z digest=sha256:341637eb0b5719443d809c63daedd5336f52616cd311e31b70b7bfa8e6320a1f

Observation 8fe59411-3527-4f2e-a791-476ce5e42264 · outbound

This paper cites A note on the Gannon-Lee theorem.

A Lorentzian splitting theorem for continuously differentiable metrics and weights A note on the Gannon-Lee theorem

Reference 53

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raw_fallback, observed 2026-08-06T19:16:25.938455Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:20.949369Z digest=sha256:be97009ac808d27faa9b74fb91edca86562eea3a22975b0a93c5bc8fe6273e94

Observation 2206d06e-7e3f-4bfc-8587-6e2c2311681e · outbound

This paper cites On the Geroch–Traschen class of metrics.

A Lorentzian splitting theorem for continuously differentiable metrics and weights On the Geroch–Traschen class of metrics

Reference 54

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source=pdf_text observed=2026-08-06T19:16:21.145618Z digest=sha256:98fe590eaedeeadd06ea80a950c0cbd0f9cb1b1d84256cf05a82fa45579eee16

Observation c57bacd8-ad5e-4220-8670-1a265c3a4b29 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 55

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:21.347441Z digest=sha256:1535adbc465e25dff15d3d6dc18f45febb207b69128f6922f0b10545457768bb

Observation e0fb9537-b8d4-4f55-bb50-d7c232ca5242 · outbound

This paper cites Existence and regularity of isometries.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Existence and regularity of isometries

Reference 56

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raw_fallback, observed 2026-08-06T19:16:25.473528Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:21.543465Z digest=sha256:2bedb9653ad0578c6c067d2875f11b708db724aee4b527e9b9508dffc1029fad

Observation 5e9746be-c36a-4cbc-9a08-42ae48b92c7d · outbound

This paper cites Ricci curvature comparison in Riemannian and Lorentzian geometry.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Ricci curvature comparison in Riemannian and Lorentzian geometry

Reference 57

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:21.687875Z digest=sha256:2c56ee16d21257df8d779b5e4f9c84b154b18391eb09024871af2408c98661f6

Observation fed9ce18-3005-4352-abed-546c139be0e7 · outbound

This paper cites an unresolved cited work.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Unresolved cited work

Reference 58

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:21.828730Z digest=sha256:e1787c8d22b3c5475c8e47f79efb64f33dd1eca396a600a00f793979b66b31de

Observation d0f307c6-fc87-498f-b416-4b276a5c211d · outbound

This paper cites Trudinger and X.-J.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Trudinger and X.-J

Reference 59

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raw_fallback, observed 2026-08-06T19:16:24.948130Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.007949Z digest=sha256:c4dfd34266ec6d54b386241c5e5cbf54e6bd4eea212b7dd2acee2e7dd59320fd

Observation 6bd47d34-5d2d-4eff-b59f-00e2b6ab472c · outbound

This paper cites Springer-Verlag, Berlin, 2009.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Springer-Verlag, Berlin, 2009

Reference 60

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.186892Z digest=sha256:95dae73f0734b2f6a305e73f64ecb90bcce80c00c08f798c43dcc75b1aab878b

Observation df2f2ed9-f824-4611-9cb9-92ea57ef9ded · outbound

This paper cites Light rays, singularities, and all that.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Light rays, singularities, and all that

Reference 61

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raw_fallback, observed 2026-08-06T19:16:24.627787Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.310230Z digest=sha256:1f2ed3dfb12dd18f56b5fc09e720ea15b411ad73527409380a7212e781041fd6

Observation 2af0a67d-d1c2-4695-a768-10907e96ac0c · outbound

This paper cites Scalar-tensor gravitation and the Bakry- ´Emery-Ricci tensor.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Scalar-tensor gravitation and the Bakry- ´Emery-Ricci tensor

Reference 62

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raw_fallback, observed 2026-08-06T19:16:24.449182Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.468388Z digest=sha256:c9facc1383efe06ea040f4b3abbdfde44ae5b97ad37683bb0a5a62d66dc275ea

Observation 12b4d137-2999-41ae-b7ef-895818080ff6 · outbound

This paper cites Cosmological singularity theorems and split- ting theorems for N -Bakry-´ emery spacetimes.J.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Cosmological singularity theorems and split- ting theorems for N -Bakry-´ emery spacetimes.J

Reference 63

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raw_fallback, observed 2026-08-06T19:16:24.272809Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.643847Z digest=sha256:31868847cfcdb74fd37fe0062e4dce358db123a194e81e87194a163a634565e3

Observation b00657f8-4e57-4e0e-b0e8-3fa103c98517 · outbound

This paper cites Curvature-dimension bounds for Lorentzian splitting theorems.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Curvature-dimension bounds for Lorentzian splitting theorems

Reference 64

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raw_fallback, observed 2026-08-06T19:16:24.102703Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.758979Z digest=sha256:1494b543d5f24fd2390faaa1824f36cf5b0c6c15d3e2b300404f2836799224e7

Observation 51428bc6-8a11-44bd-a64f-81905e53522e · outbound

This paper cites Problem section.

A Lorentzian splitting theorem for continuously differentiable metrics and weights Problem section

Reference 65

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raw_fallback, observed 2026-08-06T19:16:23.898043Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:16:22.856051Z digest=sha256:c274b4d244219e6c870ec11d8d0b0d8dddaeabbe0455c50ff850c0dff8a644f4

Pith citing papers

Observation 09f32baa-73c4-4c60-b5e9-9093680bd544 · inbound

Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves cites this paper.

Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves A Lorentzian splitting theorem for continuously differentiable metrics and weights

Reference 6

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arxiv_id, observed 2026-05-12T10:51:30.582562Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-08T17:26:24.568586Z digest=sha256:9a4617dfb610f5bfccd35a3ec80ffc28e21dd3c028cafae51b90f0b162a4e20e

Observation f552f0cf-4e4b-43f6-87d2-ecf441483300 · inbound

Lorentzian coarea inequality cites this paper.

Lorentzian coarea inequality A Lorentzian splitting theorem for continuously differentiable metrics and weights

Reference 9

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arxiv_id, observed 2026-05-12T03:11:18.639669Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-12T03:11:09.902750Z digest=sha256:3f6f85ae82aa0a9a428531cea9950d3f52c817b41c33cae6e7b33200f9333549

Observation e767dbb9-7e65-4151-83f3-beb0169299d3 · inbound

Lorentzian coarea inequality cites this paper.

Lorentzian coarea inequality A Lorentzian splitting theorem for continuously differentiable metrics and weights

Reference 9

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arxiv_id, observed 2026-05-20T23:13:50.615867Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-20T23:10:33.474875Z digest=sha256:23cba393674052f6ab2bd09a8347af57fa6351c5ad465c59de558aa02da78998

Observation 56b2441c-7ffc-4add-8463-f94e1e970bc3 · inbound

Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations cites this paper.

Failure of local equi-Lipschitzness for families of Lorentz distances to Cauchy surface foliations A Lorentzian splitting theorem for continuously differentiable metrics and weights

Reference 5

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arxiv_id, observed 2026-07-04T08:29:42.398074Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T11:30:54.786651Z digest=sha256:5aa82718b5ec803899f584518c5cc11421045198c2658d675cd837bf3a545c5a