English

Entire $\sigma_k$ curvature flow in Minkowski space

Differential Geometry 2022-07-12 v1

Abstract

In this paper, we study the σk\sigma_k curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain conditions, then the flow exists for all time. Moreover, we show that after rescaling, the flow converges to a self-expander.

Keywords

Cite

@article{arxiv.2207.04552,
  title  = {Entire $\sigma_k$ curvature flow in Minkowski space},
  author = {Zhizhang Wang and Ling Xiao},
  journal= {arXiv preprint arXiv:2207.04552},
  year   = {2022}
}