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Curvature estimate of steepest descents of 2-dimensional maximal space-like hypersurfaces on space forms
Received date: 13 Dec 2018
Accepted date: 20 Feb 2020
Published date: 15 Feb 2020
Copyright
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.
Key words： Space forms; steepest descents; maximal space-like hypersurface
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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