A rigidity theorem of self-expander

Zhi Li; Guoxin Wei

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arXiv · 2309.16321

A rigidity theorem of self-expander

Zhi Li·Guoxin Wei

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Abstract

In this paper, we completely classify $3$-dimensional complete self-expanders with constant norm $S$ of the second fundamental form and constant $f_{3}$ in Euclidean space $\mathbb R^{4}$, where $h_{ij}$ are components of the second fundamental form, $S=\sum_{i,j}h^{2}_{ij}$ and $f_{3}=\sum_{i,j,k}h_{ij}h_{jk}h_{ki}$.

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Zhi Li, Guoxin Wei. 2023-09-28. A rigidity theorem of self-expander. https://arxiv.org/abs/2309.16321

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