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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

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Front. Math. China    2020, Vol. 15 Issue (1) : 167-181    https://doi.org/10.1007/s11464-020-0826-0
RESEARCH ARTICLE
Curvature estimate of steepest descents of 2-dimensional maximal space-like hypersurfaces on space forms
Peihe WANG1(), Jianchun WANG1,2
1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
2. Weifang No. 7 Middle School, Weifang 261021, China
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Abstract

For the maximal space-like hypersurface defined on 2-dimensional space forms, based on the regularity and the strict convexity of the level sets, the steepest descents are well defined. In this paper, we come to estimate the curvature of its steepest descents by deriving a dierential equality.

Keywords Space forms      steepest descents      maximal space-like hypersurface     
Corresponding Author(s): Peihe WANG   
Issue Date: 09 March 2020
 Cite this article:   
Peihe WANG,Jianchun WANG. Curvature estimate of steepest descents of 2-dimensional maximal space-like hypersurfaces on space forms[J]. Front. Math. China, 2020, 15(1): 167-181.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0826-0
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I1/167
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