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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.
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Keywords
Space forms
steepest descents
maximal space-like hypersurface
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Corresponding Author(s):
Peihe WANG
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Issue Date: 09 March 2020
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