Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

de Lima, Henrique Fernandes

关键词: de Sitter space;    steady state space;    spacelike hypersurfaces;    higher order mean curvature;    Minkowski-type formulae;   

DOI  :  10.1016/j.geomphys.2006.07.005

来源: Elsevier

【 摘 要 】

In this paper we develop Minkowski-type formulae for compact spacelike immersed hypersurfaces with boundary and having some constant higher order mean curvature in de Sitter space S-1(n+1). we apply them to establish a relation between the mean curvature and the geometry of the boundary, when it is a geodesic sphere contained into a horizontal hyperplane of the steady state space Hn+1 subset of S-1(n+1). (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

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