English

Complete space-like self-expanders in the Minkovski space

Differential Geometry 2024-01-02 v1

Abstract

It is our purpose to study complete space-like self-expanders in the Minkovski space. By use of maximum principle of Omori-Yau type, we can obtain the rigidity theorems on nn-dimensional complete space-like self-expanders in the Minkovski space R1n+1\mathbb R^{n+1}_{1}. For complete space-like self-expanders of dimension 22, we give a classification of them under assumption of constant squared norm of the second fundamental form.

Keywords

Cite

@article{arxiv.2401.00106,
  title  = {Complete space-like self-expanders in the Minkovski space},
  author = {Zhi Li and Guoxin Wei},
  journal= {arXiv preprint arXiv:2401.00106},
  year   = {2024}
}
R2 v1 2026-06-28T14:04:58.212Z