English

Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space

Differential Geometry 2020-04-16 v2

Abstract

In this paper, we firstly establish a new volume growth estimate for spacelike entire graphs in the pseudo-Euclidean space Rnm+n\mathbb{R}^{m+n}_n. Then by using this volume growth estimate and the Co-Area formula, we prove various rigidity results for spacelike entire self-shrinking graphs.

Keywords

Cite

@article{arxiv.1910.08059,
  title  = {Rigidity theorems of spacelike entire self-shrinking graphs in the pseudo-Euclidean space},
  author = {Hongbing Qiu and Linlin Sun},
  journal= {arXiv preprint arXiv:1910.08059},
  year   = {2020}
}