A note on rigidity of spacelike self-shrinkers-Reference-Cited by-同舟云学术

A note on rigidity of spacelike self-shrinkers

Published:2020-03-11 Issue:05 Volume:31 Page:2050035
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Luo Yong¹²,Qiu Hongbing¹²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China

2. Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan 430072, P. R. China

Abstract

By using the integral method, we prove a rigidity theorem for spacelike self-shrinkers in pseudo-Euclidean space under a minor growth condition in terms of the mean curvature and the second fundamental form, which generalizes Theorem 1.1 in [H. Q. Liu and Y. L. Xin, Some Results on Space-Like Self-Shrinkers, Acta Math. Sin. (Engl. Ser.) 32(1) (2016) 69–82].

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X20500354

Reference23 articles.

1. Spacelike self-similar shrinking solutions of the mean curvature flow in pseudo-Euclidean spaces

2. Shrinking Doughnuts

3. Omori–Yau maximum principles, $$V$$ V -harmonic maps and their geometric applications

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