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A Rigidity Theorem for Surfaces in Schwarzschild Manifold

Published:2018-07-03 Issue:16 Volume:2020 Page:4833-4842
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Chen Po-Ning¹,Zhang Xiangwen²

Affiliation:

1. Department of Mathematics, University of California, Riverside, CA, USA

2. Department of Mathematics, University of California, Irvine, CA, USA

Abstract

Abstract In this article, we prove a rigidity theorem for isometric embeddings into the Schwarzschild manifold, by using the variational formula of quasi-local mass.

Funder

Simons Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/16/4833/33660068/rny155.pdf

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