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Paper Citation Record · LEDGER

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities

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Outbound references

Observation ab7d2745-1e5e-43e5-9716-3db0638f59a0 · outbound

This paper cites The mass of an asymptotically flat manifold.����� ���� ����� �����, 39(5):661–693, 1986.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The mass of an asymptotically flat manifold.����� ���� ����� �����, 39(5):661–693, 1986

Reference 1

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Observation c645ca76-8124-42de-9238-2fe2b49125a9 · outbound

This paper cites Boundary value problems for Dirac-type equations.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Boundary value problems for Dirac-type equations

Reference 2

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Observation bebb27f7-9120-485f-b4fd-9f6635dbf40a · outbound

This paper cites A proof for the riemannian positive mass theorem up to dimension 19.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities A proof for the riemannian positive mass theorem up to dimension 19

Reference 3

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Observation 6570bd7b-3a7c-45aa-90d4-0c85f099e0c1 · outbound

This paper cites Positive Scalar Curvature Obstructions via Singular Dimension Descent.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive Scalar Curvature Obstructions via Singular Dimension Descent

Reference 4

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Observation cec5ee88-f23c-4496-9572-7db0d6498bed · outbound

This paper cites Proof of the Riemannian Penrose inequality using the positive mass theorem.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Proof of the Riemannian Penrose inequality using the positive mass theorem

Reference 5

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Observation 8076594c-566c-489f-9f34-a73425a91e16 · outbound

This paper cites A dimension descent scheme for the positive mass theorem in arbitrary dimension.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities A dimension descent scheme for the positive mass theorem in arbitrary dimension

Reference 6

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Observation 27df68b5-aa2e-4735-b4bc-570920da9d4a · outbound

This paper cites On the spacetime positive energy theorem in arbitrary dimension.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities On the spacetime positive energy theorem in arbitrary dimension

Reference 7

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Observation 64c78678-9c6d-4d14-bd1e-9d0e57d55306 · outbound

This paper cites Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Smoothing $L^\infty$ Riemannian metrics with nonnegative scalar curvature outside of a singular set

Reference 8

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Observation 444d89eb-837b-4167-b506-e95f86167489 · outbound

This paper cites Positive scalar curvature with point singularities.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive scalar curvature with point singularities

Reference 9

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Observation f6b5217b-7d8b-4bdf-a920-fce42344f269 · outbound

This paper cites Quantitative stratification and the regularity of har- monic maps and minimal currents.�������������� �� ���� ��� ������� �����������, 66(6):965–990, 2013.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Quantitative stratification and the regularity of har- monic maps and minimal currents.�������������� �� ���� ��� ������� �����������, 66(6):965–990, 2013

Reference 10

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Observation 46ee07ee-308e-4d98-9146-1c504144b385 · outbound

This paper cites Singular metrics with negative scalar curvature.������������� ������� �� �����������, 33(7):2250047, 2022.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Singular metrics with negative scalar curvature.������������� ������� �� �����������, 33(7):2250047, 2022

Reference 11

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Observation 9e5bb9a0-125e-453b-918f-2230e6d1953f · outbound

This paper cites Generalized soap bubbles and the topology of manifolds with positive scalar curvature.������ �� �����������, 199(2):707–740, 2024.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Generalized soap bubbles and the topology of manifolds with positive scalar curvature.������ �� �����������, 199(2):707–740, 2024

Reference 12

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Observation 5a0c624f-98d4-45af-af6b-ed13dbc4208f · outbound

This paper cites Generic regularity for minimizing hypersurfaces in dimensions 9 and 10.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Generic regularity for minimizing hypersurfaces in dimensions 9 and 10

Reference 13

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Observation 508d5153-008c-4c78-9add-38a3f98de3a4 · outbound

This paper cites Generic regularity for minimizing hypersurfaces in dimension 11.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Generic regularity for minimizing hypersurfaces in dimension 11

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Observation b61865da-02a0-448e-bf4b-da3ff85837a9 · outbound

This paper cites Boundary conditions at spatial infinity from a Hamiltonian point of view.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Boundary conditions at spatial infinity from a Hamiltonian point of view

Reference 15

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Observation a6779b5f-32dc-4f05-8190-c88b6a9c6673 · outbound

This paper cites Positive scalar curvature and isolated conical singularity.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive scalar curvature and isolated conical singularity

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Observation c51acc68-7262-42d5-878d-ff41775818ef · outbound

This paper cites The positive mass theorem for asymp- totically flat manifolds with isolated conical singularities.������� ����� �����������, 68:1671–1686, 2025.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The positive mass theorem for asymp- totically flat manifolds with isolated conical singularities.������� ����� �����������, 68:1671–1686, 2025

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Observation a565759c-f055-4a76-af8c-9a3706c1ad00 · outbound

This paper cites Singular metrics with nonnegative scalar curvature and RCD.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Singular metrics with nonnegative scalar curvature and RCD

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Observation c80992a4-04df-4b8f-978c-6de1e800ea06 · outbound

This paper cites Gromov-Hausdorff limits of K¨ ahler manifolds and alge- braic geometry.���� �����, 213(1):63–106, 2014.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Gromov-Hausdorff limits of K¨ ahler manifolds and alge- braic geometry.���� �����, 213(1):63–106, 2014

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Observation 297e13f1-25a1-4786-b61f-e4fca9b233cf · outbound

This paper cites The plateau problem for marginally outer trapped surfaces.������� �� ����������� ��������, 83(3):551–583, 2009.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The plateau problem for marginally outer trapped surfaces.������� �� ����������� ��������, 83(3):551–583, 2009

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Observation bb023122-f7dd-4895-8f59-2ed0bb89c1ed · outbound

This paper cites North-Holland, Amsterdam, 1978.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities North-Holland, Amsterdam, 1978

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Observation d718b1c6-7c8a-41df-aaa5-936918469eef · outbound

This paper cites Springer, 2015.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Springer, 2015

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Observation f32e26f6-be6f-4715-b096-28279bdfeb57 · outbound

This paper cites Metric inequalities with scalar curvature.��������� ��� ���������� ����� ����, 28(3):645–726, 2018.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Metric inequalities with scalar curvature.��������� ��� ���������� ����� ����, 28(3):645–726, 2018

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Observation dbb42abd-275d-46fd-b5d9-6b14f800ece8 · outbound

This paper cites The Green function for uniformly elliptic equa- tions.����������� �����, 37(3):303–342, 1982.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The Green function for uniformly elliptic equa- tions.����������� �����, 37(3):303–342, 1982

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Observation a26d0402-f64b-4185-802c-0e562eb17ac6 · outbound

This paper cites American Mathematical Soc., 2011.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities American Mathematical Soc., 2011

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Observation 0f0d2c8a-e0ce-4272-b0c0-5b8d4b2ab33f · outbound

This paper cites The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions

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Observation de19108e-3494-437d-b676-6794d2ef61d9 · outbound

This paper cites A positive mass theorem for manifolds with boundary.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities A positive mass theorem for manifolds with boundary

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Observation 6771e94c-82fe-4d2e-8036-b6ba15cd188a · outbound

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Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Princeton University Press, Princeton, 1941

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Observation e3af6e30-3902-4f27-8c19-c1cee4f43a87 · outbound

This paper cites Removable singularity of positive mass theorem with continuous metrics.����� ��, 302(2):839–874, 2022.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Removable singularity of positive mass theorem with continuous metrics.����� ��, 302(2):839–874, 2022

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Observation cfd8a47b-c63d-4a00-87bc-03e79f2a4c82 · outbound

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Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Desingularizing positive scalar curvature 4-manifolds.������������� �������, 390:4951–4972, 2024

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Observation e7961f22-9845-48fd-94b4-f14174740c5e · outbound

This paper cites A positive mass theorem for lipschitz metrics with small singular sets.����������� �� ��� �������� ������������ �������, 141(11):3997–4004, 2013.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities A positive mass theorem for lipschitz metrics with small singular sets.����������� �� ��� �������� ������������ �������, 141(11):3997–4004, 2013

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Observation 3e68bf6a-eec5-40a2-862c-7384ce9678eb · outbound

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Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities American Mathematical Society, 2021

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Observation b5c65366-4349-4dab-b855-490617efece0 · outbound

This paper cites The positive mass theorem for manifolds with distributional curvature.�������������� �� ������������ �������, 339(1):99–120, 2015.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The positive mass theorem for manifolds with distributional curvature.�������������� �� ������������ �������, 339(1):99–120, 2015

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Observation fd4ae0e5-1674-42ea-9db8-0f026d7c2f12 · outbound

This paper cites Density and positive mass theorems for in- complete manifolds.�������� �� ���������� ��� ������� ����������� ���������, 62(194), 2023.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Density and positive mass theorems for in- complete manifolds.�������� �� ���������� ��� ������� ����������� ���������, 62(194), 2023

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Observation f476f503-ecda-4792-9b71-60c3d763fa64 · outbound

This paper cites Continuous metrics and a conjecture of Schoen.������ ����� ����� ����, 378(3):1531–1550, 2025.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Continuous metrics and a conjecture of Schoen.������ ����� ����� ����, 378(3):1531–1550, 2025

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This paper cites The positive mass theorem with arbi- trary ends.������� �� ����������� ��������, 128(1):257–293, 2024.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The positive mass theorem with arbi- trary ends.������� �� ����������� ��������, 128(1):257–293, 2024

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Observation 53e68948-a5f7-464c-9ee8-cf5305dd5a33 · outbound

This paper cites Positive scalar curvature with skeleton singularities.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive scalar curvature with skeleton singularities

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Observation 83ea3c6a-ebf7-417a-a55d-bd67bf6b2e80 · outbound

This paper cites Littman, G.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Littman, G

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Observation 522eceb6-7436-42c4-afa6-1057c10c61b5 · outbound

This paper cites The Higher Dimensional Positive Mass Theorem I.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The Higher Dimensional Positive Mass Theorem I

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Observation 8a78a576-bb1b-4578-ace6-01a39a4dd050 · outbound

This paper cites The Higher Dimensional Positive Mass Theorem II.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The Higher Dimensional Positive Mass Theorem II

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This paper cites Capacity, quasi-local mass, and singular fill-ins.������� �� �� ��� ����� ��� ���������� ����������, 768:55–92, 2020.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Capacity, quasi-local mass, and singular fill-ins.������� �� �� ��� ����� ��� ���������� ����������, 768:55–92, 2020

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Observation 9253cda6-53c7-483e-bf2d-d9e32b30d0a2 · outbound

This paper cites A Positive Mass Theorem for Continuous Metrics.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities A Positive Mass Theorem for Continuous Metrics

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Observation c37970bc-c0de-478b-86ae-1e8cffd2f5ea · outbound

This paper cites On the positive mass theorem for manifolds with corners.�������������� �� ������������ �������, 313(2):425–443, 2012.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities On the positive mass theorem for manifolds with corners.�������������� �� ������������ �������, 313(2):425–443, 2012

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Observation 84c4dc54-5c06-45e2-898e-60f51a379f3f · outbound

This paper cites Positive mass theorem on manifolds admitting corners along a hypersurface.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive mass theorem on manifolds admitting corners along a hypersurface

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Observation 3311161a-9c62-4df0-b67e-b24721690497 · outbound

This paper cites The singular structure and regularity of stationary and minimizing varifolds.������ �� �����������, 190(2):413–565, 2019.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities The singular structure and regularity of stationary and minimizing varifolds.������ �� �����������, 190(2):413–565, 2019

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Observation ea325c40-b66a-4759-9da6-efcbde984b86 · outbound

This paper cites On the proof of the positive mass conjecture in general relativity.�������������� �� ������������ �������, 65(1):45–76, 1979.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities On the proof of the positive mass conjecture in general relativity.�������������� �� ������������ �������, 65(1):45–76, 1979

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Observation f4df6c26-9fbf-42cd-8bea-73b871da9484 · outbound

This paper cites Proof of the positive mass theorem.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Proof of the positive mass theorem

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Observation af05786a-ebc8-437a-bfba-849ee88d2668 · outbound

This paper cites International Press, Boston, 1994.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities International Press, Boston, 1994

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This paper cites Positive scalar curvature and minimal hypersurface singularities.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive scalar curvature and minimal hypersurface singularities

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This paper cites Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.������� �� ����������� ��������, 62(1):79–125, 2002.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.������� �� ����������� ��������, 62(1):79–125, 2002

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This paper cites On the fill-in of nonnegative scalar curvature metrics.������������� �������, 379(1–2):235–270, 2021.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities On the fill-in of nonnegative scalar curvature metrics.������������� �������, 379(1–2):235–270, 2021

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Observation bb7fb5a9-e957-48a0-b74c-a090c00bb145 · outbound

This paper cites Generic regularity of homologically area minimizing hypersurfaces in eight- dimensional manifolds.�������������� �� �������� ��� ��������, 1(2):217–228, 1993.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Generic regularity of homologically area minimizing hypersurfaces in eight- dimensional manifolds.�������������� �� �������� ��� ��������, 1(2):217–228, 1993

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This paper cites Positive mass theorem for initial data sets with arbitrary ends.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Positive mass theorem for initial data sets with arbitrary ends

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Observation 723aada6-e05e-402e-bf6f-e257a82d541e · outbound

This paper cites $L^\infty$-metrics on tori and Schoen's conjecture.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities $L^\infty$-metrics on tori and Schoen's conjecture

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Observation b34e2805-f7f8-41dd-96c3-cb9e73368e91 · outbound

This paper cites Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics

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Observation 7e4eb222-9852-40a5-bbaa-76ed589e2fa2 · outbound

This paper cites A new proof of the positive energy theorem.�������������� �� ������ ������� �������, 80(3):381–402, 1981.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities A new proof of the positive energy theorem.�������������� �� ������ ������� �������, 80(3):381–402, 1981

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Observation c11bafc1-30d8-4e47-8a06-62d9efcc479f · outbound

This paper cites Width estimate and doubly warped product.������������ �� ��� �������� ������������ �������, 374(2):1497–1511, 2021.

Riemannian Positive Mass Theorem in All Dimensions in the Presence of Low-Codimension Singularities Width estimate and doubly warped product.������������ �� ��� �������� ������������ �������, 374(2):1497–1511, 2021

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