ON COMPLETE SPACELIKE (r-1)-MAXIMAL HYPERSURFACES IN THE ANTI-DE SITTER SPACE H1n+1

Title & Authors
ON COMPLETE SPACELIKE (r-1)-MAXIMAL HYPERSURFACES IN THE ANTI-DE SITTER SPACE H1n+1
Yang, Biaogui;

Abstract
In this paper we investigate complete spacelike (r - 1)-maximal (i.e., $\small{H_r\;{\equiv}\;0}$) hypersurfaces with two distinct principal curvatures in the anti-de Sitter space $\small{\mathbb{H}_1^{n+1}}$(-1). We give a characterization of the hyperbolic cylinder.
Keywords
spacelike hypersurface;(r - 1)-maximal;anti-de Sitter space;hyperbolic cylinder;generalized maximum principle;
Language
English
Cited by
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