Paper Citation Record · LEDGER

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones

As of 20 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2607.11411.

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pith.paper-citation-record.v1
2607.11411 v1

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measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T05:45:55.508227Z

measured 35 of 35 standing notices

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35 of 35 outbound references displayed

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Outbound references

Observation 5d1a0840-b090-4a1e-9e08-083c447bf74e · outbound

This paper cites Curvature estimates for stable marginally trapped surfaces.J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Curvature estimates for stable marginally trapped surfaces.J

Reference 1

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Observation 759e087a-0984-49a2-bf13-ed6a51d7e4ef · outbound

This paper cites Large outlying stable constant mean curvature spheres in initial data sets.Invent.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Large outlying stable constant mean curvature spheres in initial data sets.Invent

Reference 2

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Observation f98656f4-8208-4219-9a07-f2a2c0799e80 · outbound

This paper cites On the center of mass of asymp- totically hyperbolic initial data sets.Ann.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones On the center of mass of asymp- totically hyperbolic initial data sets.Ann

Reference 3

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Observation a662d722-e05e-4dc8-98f2-b0914402adeb · outbound

This paper cites On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity.Calc.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity.Calc

Reference 4

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Observation 09560210-4cf5-47f0-a860-b0cc01cef5f3 · outbound

This paper cites an unresolved cited work.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Unresolved cited work

Reference 5

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Observation ac726cad-4cd1-47d0-b26b-294723911cac · outbound

This paper cites Two rigidity results for surfaces in Schwarzschild spacetimes.Math.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Two rigidity results for surfaces in Schwarzschild spacetimes.Math

Reference 6

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Observation e5d08c8f-d16e-4956-bbad-05d9af07d31f · outbound

This paper cites Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds.Duke Math.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian 3-manifolds.Duke Math

Reference 7

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Observation 6002c684-dcb2-4c0e-8103-51411c3047b7 · outbound

This paper cites Foliations of asymptotically flat manifolds by stable constant mean curvature spheres.J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations of asymptotically flat manifolds by stable constant mean curvature spheres.J

Reference 8

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Observation e4e14fca-7acc-41b3-8145-19ac519be5c5 · outbound

This paper cites Huisken-Yau-type uniqueness for area-constrained Willmore spheres.Duke Math.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Huisken-Yau-type uniqueness for area-constrained Willmore spheres.Duke Math

Reference 9

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Observation 628f4a4a-4432-46c2-b4a6-e5c8ed9ca55f · outbound

This paper cites Foliations by stable spheres with constant mean curvature for iso- lated systems with general asymptotics.Comm.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations by stable spheres with constant mean curvature for iso- lated systems with general asymptotics.Comm

Reference 10

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Observation ff03ab56-7044-42d7-ab0e-488095e9965b · outbound

This paper cites Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature.Invent.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature.Invent

Reference 11

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Observation d9d3578a-a5f5-4af8-827a-a34c3fa6367c · outbound

This paper cites Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr.Ann.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr.Ann

Reference 12

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Observation bc5f7768-561e-403e-8af0-32689ef46c2a · outbound

This paper cites Foliations of asymptotically Schwarzschildean light- cones by surfaces of constant spacetime mean curvature.Math.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations of asymptotically Schwarzschildean light- cones by surfaces of constant spacetime mean curvature.Math

Reference 13

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Observation 517c0f97-62e4-4a90-a1fa-afaf18f10612 · outbound

This paper cites Foliation of null cones by surfaces of constant space- time mean curvature near MOTS.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliation of null cones by surfaces of constant space- time mean curvature near MOTS

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T05:45:55.508227Z

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Observation 84054e03-336d-4593-b693-53c8c38d69b2 · outbound

This paper cites Foliations of asymptotically flat mani- folds by surfaces of Willmore type.Math.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations of asymptotically flat mani- folds by surfaces of Willmore type.Math

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T05:45:55.508227Z

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Observation 23279e9e-90f1-4add-b5ef-32c897db24b7 · outbound

This paper cites Uniqueness of the foliation of constant mean curvature spheres in asymp- totically flat 3-manifolds.Pacific J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Uniqueness of the foliation of constant mean curvature spheres in asymp- totically flat 3-manifolds.Pacific J

Reference 16

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Observation fd478bed-1637-4b69-88a4-a2408632e430 · outbound

This paper cites Bondi-sachs formalism.Scholarpedia, 11(12):33528, 2016.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Bondi-sachs formalism.Scholarpedia, 11(12):33528, 2016

Reference 17

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Observation fd7e8196-3ff2-47d7-8e6c-e982e85472fe · outbound

This paper cites The asymptotic behaviour of the Hawking energy along null asymptotically flat hypersurfaces.Classical Quantum Gravity, 32(18):185020, 30, 2015.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones The asymptotic behaviour of the Hawking energy along null asymptotically flat hypersurfaces.Classical Quantum Gravity, 32(18):185020, 30, 2015

Reference 18

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Observation 835133ad-7d00-473f-a758-c8b72427bc62 · outbound

This paper cites Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature.J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations of asymptotically flat 3-manifolds by 2-surfaces of prescribed mean curvature.J

Reference 19

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Observation fd8573cc-423f-4699-8cd7-551af18c20be · outbound

This paper cites Foliations by spheres with constant expansion for isolated systems without asymptotic symmetry.J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations by spheres with constant expansion for isolated systems without asymptotic symmetry.J

Reference 20

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Observation 77568b1a-0070-4b63-ba4f-caae3f3d7915 · outbound

This paper cites Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds.Geom.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds.Geom

Reference 21

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Observation 7bf4c959-4d19-499d-bfdf-2d56848e9a8f · outbound

This paper cites Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds.

Reference 22

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Observation 17f8ab7a-1569-4caf-b087-e9c0acc6658f · outbound

This paper cites an unresolved cited work.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Unresolved cited work

Reference 23

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Observation e1b25d80-0728-421a-87ce-9f7e59c78b43 · outbound

This paper cites On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds.J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds.J

Reference 24

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Observation 96556837-89f8-4f10-b133-7a654d22c406 · outbound

This paper cites Quasi-round MOTSs and stability of the Schwarzschild null Penrose inequality.Ann.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Quasi-round MOTSs and stability of the Schwarzschild null Penrose inequality.Ann

Reference 25

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Observation 30e2d96d-8805-4710-be37-e2210fbc753b · outbound

This paper cites an unresolved cited work.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Unresolved cited work

Reference 26

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Observation a12402ad-cb85-40ee-8064-b9a9d2f5124c · outbound

This paper cites Phd thesis, ETH Zürich, Zürich, Switzerland, 2008.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Phd thesis, ETH Zürich, Zürich, Switzerland, 2008

Reference 27

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Observation d8b613f1-d381-4990-8262-62929f02d4b2 · outbound

This paper cites Schoen, L.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Schoen, L

Reference 28

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Observation 924b1493-468b-4d5c-b468-f7b62000bef2 · outbound

This paper cites Foliations by constant spacetime mean curvature surfaces for asymptotically hyperboloidal initial data sets.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliations by constant spacetime mean curvature surfaces for asymptotically hyperboloidal initial data sets

Reference 29

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Observation 1df117f9-0b63-4d77-9a2d-e78499b5a5be · outbound

This paper cites Volume preserving spacetime mean curvature flow and foliations of initial data sets.J.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Volume preserving spacetime mean curvature flow and foliations of initial data sets.J

Reference 30

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Observation 9054dd92-81b5-44ae-812c-d826760fe1e1 · outbound

This paper cites Phd thesis, University of Tübingen, Tübingen, Germany, December 2023.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Phd thesis, University of Tübingen, Tübingen, Germany, December 2023

Reference 31

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Observation 6da22cb4-bbe9-4bf0-a2a4-0feeed74ceeb · outbound

This paper cites Ricci flow on surfaces along the standard lightcone in the3+1-Minkowski spacetime.Calc.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Ricci flow on surfaces along the standard lightcone in the3+1-Minkowski spacetime.Calc

Reference 32

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Observation 570cf3bf-bb86-4a4f-ab2b-0071261a8a0d · outbound

This paper cites A De Lellis–Müller type estimate on the Minkowski lightcone.Calc.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones A De Lellis–Müller type estimate on the Minkowski lightcone.Calc

Reference 33

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Observation c5a548bb-2378-490c-9c07-8d566d906446 · outbound

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

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones A note on the stability of surfaces along null cones under area-preserving variations

Reference 34

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Observation f96320f6-516e-4b86-ba22-dde77033b075 · outbound

This paper cites Foliation by constant mean curvature spheres on asymptotically flat man- ifolds.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones Foliation by constant mean curvature spheres on asymptotically flat man- ifolds

Reference 35

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