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http://dx.doi.org/10.4134/JKMS.2006.43.1.147

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

CHENG QING-MING (Department of Mathematics Faculty of Science and Engineering Saga University)
SUH YOUNG JIN (Department of Mathematics Kyungpook National University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 147-157 More about this Journal
Abstract
In this paper, we study complete maximal space-like hypersurfaces with constant Gauss-Kronecker curvature in an antide Sitter space $H_1^4(-1)$. It is proved that complete maximal spacelike hypersurfaces with constant Gauss-Kronecker curvature in an anti-de Sitter space $H_1^4(-1)$ are isometric to the hyperbolic cylinder $H^2(c1){\times}H^1(c2)$ with S = 3 or they satisfy $S{\leq}2$, where S denotes the squared norm of the second fundamental form.
Keywords
maximal space-like hypersurface; zero Gauss-Kronecker curvature; anti-de Sitter space;
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