English

A rigidity theorem for surfaces in Schwarzschild manifold

Differential Geometry 2018-02-06 v1

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.

Keywords

Cite

@article{arxiv.1802.00887,
  title  = {A rigidity theorem for surfaces in Schwarzschild manifold},
  author = {Po-Ning Chen and Xiangwen Zhang},
  journal= {arXiv preprint arXiv:1802.00887},
  year   = {2018}
}

Comments

8 pages

R2 v1 2026-06-23T00:09:24.688Z