English

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

Differential Geometry 2016-02-08 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1602.02060,
  title  = {A proof of the Kazdan-Warner identity via the Minkowski spacetime},
  author = {Pengyu Le},
  journal= {arXiv preprint arXiv:1602.02060},
  year   = {2016}
}

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7 pages