RESEARCH ARTICLE

Curvature estimate of steepest descents of 2-dimensional maximal space-like hypersurfaces on space forms

  • Peihe WANG , 1 ,
  • Jianchun WANG 1,2
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  • 1. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
  • 2. Weifang No. 7 Middle School, Weifang 261021, China

Received date: 13 Dec 2018

Accepted date: 20 Feb 2020

Published date: 15 Feb 2020

Copyright

2020 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

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.

Cite this article

Peihe WANG , Jianchun WANG . Curvature estimate of steepest descents of 2-dimensional maximal space-like hypersurfaces on space forms[J]. Frontiers of Mathematics in China, 2020 , 15(1) : 167 -181 . DOI: 10.1007/s11464-020-0826-0

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