MAXIMAL SPACE-LIKE HYPERSURFACES IN H14(-1) WITH ZERO GAUSS-KRONECKER CURVATURE

Title & Authors
MAXIMAL SPACE-LIKE HYPERSURFACES IN H14(-1) WITH ZERO GAUSS-KRONECKER CURVATURE
CHENG QING-MING; SUH YOUNG JIN;

Abstract
In this paper, we study complete maximal space-like hypersurfaces with constant Gauss-Kronecker curvature in an antide Sitter space $\small{H_1^4(-1)}$. It is proved that complete maximal spacelike hypersurfaces with constant Gauss-Kronecker curvature in an anti-de Sitter space $\small{H_1^4(-1)}$ are isometric to the hyperbolic cylinder $\small{H^2(c1){\times}H^1(c2)}$ with S = 3 or they satisfy $\small{S{\leq}2}$, where S denotes the squared norm of the second fundamental form.
Keywords
maximal space-like hypersurface;zero Gauss-Kronecker curvature;anti-de Sitter space;
Language
English
Cited by
1.
New characterizations for hyperbolic cylinders in anti-de Sitter spaces, Journal of Mathematical Analysis and Applications, 2012, 393, 1, 166
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