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arXiv · 1211.2876

Some results on space-like self-shrinkers

Huaqiao Liu·Y. L. Xin
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Abstract

We study space-like self-shrinkers of dimension $n$ in pseudo-Euclidean space $\ir{m+n}_m$with index $m$. We derive drift Laplacian of the basic geometric quantities and obtain their volume estimates in pseudo-distance function. Finally, we prove a rigidity results under minor growth conditions interms of the mean curvature or the image of Gauss maps.

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Huaqiao Liu, Y. L. Xin. 2013-06-30. Some results on space-like self-shrinkers. https://arxiv.org/abs/1211.2876

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