Some results on space-like self-shrinkers |
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Authors: | Hua Qiao Liu Yuan Long Xin |
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Affiliation: | 1. School of Mathematics and Information Sciences, He'nan University, Kaifeng 475004, P. R. China;2. Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China |
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Abstract: | We study space-like self-shrinkers of dimension n in pseudo-Euclidean space Rmm+n with index m. We derive drift Laplacian of the basic geometric quantities and obtain their volume estimates in pseudo-distance function. Finally, we prove rigidity results under minor growth conditions in terms of the mean curvature or the image of Gauss maps. |
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Keywords: | Space-like self-shrinker pseudo-distance volume growth rigidity |
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