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

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

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