Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894601 | Journal of Geometry and Physics | 2007 | 9 Pages |
Abstract
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 S1n+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⊂S1n+1.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Henrique Fernandes de Lima,