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arXiv · 2401.00106

Complete space-like self-expanders in the Minkovski space

Zhi Li·Guoxin Wei
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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 $n$-dimensional complete space-like self-expanders in the Minkovski space $\mathbb R^{n+1}_{1}$. For complete space-like self-expanders of dimension $2$, we give a classification of them under assumption of constant squared norm of the second fundamental form.

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Zhi Li, Guoxin Wei. 2023-12-30. Complete space-like self-expanders in the Minkovski space. https://arxiv.org/abs/2401.00106

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