Paper Citation Record · LEDGER

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.22566.

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

pith.paper-citation-record.v1
2507.22566 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:47:03.568486Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T03:51:58.803017Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy26
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 514836de-7cdc-4316-82af-b8da98e99fc4 · outbound

This paper cites Al ´ ıas, V.L.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Al ´ ıas, V.L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.908212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3871e36a-9ad9-4d62-a460-dcbbb8531239 · outbound

This paper cites Al ´ ıas, F.J.M.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Al ´ ıas, F.J.M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.896967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 69b11104-6ce5-4fa7-a1b0-9daf26af3997 · outbound

This paper cites Asperti and M.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Asperti and M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.884063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bda4e215-beb0-4cda-b988-c2e19a7f2294 · outbound

This paper cites Avez, Applications de la formule de Gauss-Bonnet-Chern aux vari´ et´ es ` a quatre dimensions,C.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Avez, Applications de la formule de Gauss-Bonnet-Chern aux vari´ et´ es ` a quatre dimensions,C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.872116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ecbc42c9-a880-4ff3-ba23-c2214dd48473 · outbound

This paper cites Besse, Einstein manifolds , Springer-Verlag, Berlin, Heidelberg, 1987.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Besse, Einstein manifolds , Springer-Verlag, Berlin, Heidelberg, 1987

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.859290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5407d5d-2bbd-4683-8cdc-d91e8c4149cd · outbound

This paper cites Brinkmann, On Riemannian spaces conformal to Euclidean space, Proc.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Brinkmann, On Riemannian spaces conformal to Euclidean space, Proc

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.846053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4ef73bbc-838b-4adb-a1f7-5a952a951c04 · outbound

This paper cites C´ anovas, D.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone C´ anovas, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.834467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f1c769ce-e1f7-40c1-8d61-99d6449db22d · outbound

This paper cites ˇCap and J.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone ˇCap and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.821503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9b88a4d3-c07b-4d0d-9ccb-821045e2ad19 · outbound

This paper cites Chen, On the surfaces with parallel mean curvature vector, Indiana Univ.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Chen, On the surfaces with parallel mean curvature vector, Indiana Univ

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.810040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2648e3a7-83e5-415f-aa7e-e901114ac2c4 · outbound

This paper cites Chen, Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension, J.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Chen, Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.798143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 26553653-b6fe-4501-9b3b-c40c8b0c37da · outbound

This paper cites Cheng, Complete spacelike submanifolds in a De Sitter space with parallel mean curvature vector, Math.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Cheng, Complete spacelike submanifolds in a De Sitter space with parallel mean curvature vector, Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.786167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1c7e3a00-5b7c-4bb4-9ae3-c7523fbdf29f · outbound

This paper cites Dajczer, Submanifolds and isometric immersions , Math.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Dajczer, Submanifolds and isometric immersions , Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.774056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5695df6d-3b5d-4a09-8bde-362cc4ce1697 · outbound

This paper cites Do Carmo, Differential Geometry of Curves and Surfaces , Revised and updated sec.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Do Carmo, Differential Geometry of Curves and Surfaces , Revised and updated sec

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.761671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e63c2485-2052-4fe1-a23a-26a6c236d142 · outbound

This paper cites Harris, Closed and complete spacelike hypersurfaces in Minkowski space, Class.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Harris, Closed and complete spacelike hypersurfaces in Minkowski space, Class

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.749209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f1a78241-5a08-4a0c-8bf6-9195ccbd21a2 · outbound

This paper cites Hoffman, Surfaces of constant mean curvature in manifolds of constant curvature, J.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Hoffman, Surfaces of constant mean curvature in manifolds of constant curvature, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.737483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5bc0cd2e-81b6-4022-b660-ac99d4904f69 · outbound

This paper cites Izumiya, D.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Izumiya, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.724287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 81ba7d7f-e299-40b7-93fb-c09a98c0bcb4 · outbound

This paper cites Lee and T.H.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Lee and T.H

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.712047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9a6fc61-3806-41cb-b94d-fc4ed75b88a8 · outbound

This paper cites Magid, Isometric immersions of Lorentz space with parallel second fundamental forms, Tsukuba J.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Magid, Isometric immersions of Lorentz space with parallel second fundamental forms, Tsukuba J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.699991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3acb5562-3129-48bb-99a7-96edbce7ee46 · outbound

This paper cites Mars and J.M.M.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Mars and J.M.M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.688132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e69fb7e8-c505-441a-b531-ebe529a759d9 · outbound

This paper cites Obata, The conjectures on conformal transformations of Riemannian manifolds, J.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Obata, The conjectures on conformal transformations of Riemannian manifolds, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.676790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fca68a0b-0f1d-4824-a34b-f2795c075271 · outbound

This paper cites Palmas, F.J.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Palmas, F.J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.664088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ff727994-e370-4276-8dd7-e708497b2d11 · outbound

This paper cites Palmer, Variational problems which are quadratic in the surface curvatures, Curvature and Vari- ational Modeling in Physics and Biophysics , Ed.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Palmer, Variational problems which are quadratic in the surface curvatures, Curvature and Vari- ational Modeling in Physics and Biophysics , Ed

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.650927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation feb875d2-b1cc-4fba-9dbe-ab1abaf535f8 · outbound

This paper cites Palomo and A.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Palomo and A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.638958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 76ed98e6-804d-4621-9bae-2eafda60eb54 · outbound

This paper cites Santos, Submanifolds with parallel mean curvature vector in spheres, Tˆ ohoku Math.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Santos, Submanifolds with parallel mean curvature vector in spheres, Tˆ ohoku Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.625793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 438f19a8-0996-4b18-b890-fa32f85c01d6 · outbound

This paper cites Wente, Counterexample to a conjecture of H.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Wente, Counterexample to a conjecture of H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.613578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d865b6ae-3d81-4373-8ef3-0dc3f29ad6d9 · outbound

This paper cites Yau, Submanifolds with constant mean curvature.

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone Yau, Submanifolds with constant mean curvature

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:47:03.600794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 3f1ee128-3b43-4391-b5fc-fd331fc4a381 · inbound

A note on the stability of surfaces along null cones under area-preserving variations cites this paper.

A note on the stability of surfaces along null cones under area-preserving variations Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-13T03:51:58.803017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.