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Stability of spacelike hypersurfaces in de Sitter space


Author: Shicheng Zhang
Journal: Proc. Amer. Math. Soc. 143 (2015), 851-857
MSC (2010): Primary 53C42, 53A10; Secondary 53B30, 53C50
DOI: https://doi.org/10.1090/S0002-9939-2014-12276-3
Published electronically: October 16, 2014
MathSciNet review: 3283671
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Abstract: This paper discusses compact linear Weingarten space-like hypersurfaces in a de Sitter space We prove that a compact linear Weingarten space-like hypersurface in a de Sitter space is stable if and only if it is totally umbilical.


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Additional Information

Shicheng Zhang
Affiliation: School of Mathematical Sciences, Jiangsu Normal University, Xuzhou, Jiangsu 221116, People’s Republic of China
Email: zhangshicheng@jsnu.edu.cn

DOI: https://doi.org/10.1090/S0002-9939-2014-12276-3
Keywords: de Sitter space, spacelike hypersurface, stability, linear Weingarten hypersurfaces
Received by editor(s): January 21, 2013
Received by editor(s) in revised form: May 22, 2013, and May 26, 2013
Published electronically: October 16, 2014
Additional Notes: This project was supported by the National Natural Science Foundation of China (No. 61271002) and PAPD of Jiangsu Higher Education Institutions.
Dedicated: This paper is dedicated to our advisors
Communicated by: Lei Ni
Article copyright: © Copyright 2014 American Mathematical Society

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