A proof of the Kazdan-Warner identity via the Minkowski spacetime

Pengyu Le

A proof of the Kazdan-Warner identity via the Minkowski spacetime

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arxiv 1602.02060 v1 pith:2COIAJNG submitted 2016-02-05 math.DG

Pengyu Le This is my paper · ORCID

classification math.DG

keywords identitykazdan-warnerminkowskiproofspacetimeapplyembeddedfact

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Any 2-dim Riemannian manifold with spherical topology can be embedded isometrically into a lightcone of the Minkowski spacetime. We apply this fact to give a proof of the Kazdan-Warner identity.

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A note on the stability of surfaces along null cones under area-preserving variations
math.DG 2026-07 accept novelty 5.5 of 10

Stable spacelike cross-sections of null cones have non-negative Hawking energy under DEC, and the only stable cross-sections of the Minkowski lightcone are round spheres.

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