Some results on space-like self-shrinkers
Differential Geometry
2013-07-02 v2
Abstract
We study space-like self-shrinkers of dimension in pseudo-Euclidean space with index . 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.
Keywords
Cite
@article{arxiv.1211.2876,
title = {Some results on space-like self-shrinkers},
author = {Huaqiao Liu and Y. L. Xin},
journal= {arXiv preprint arXiv:1211.2876},
year = {2013}
}
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15 pages