English

On the $r-$stability of spacelike hypersurfaces

Differential Geometry 2015-05-14 v1

Abstract

In this paper we study the strong stability of spacelike hypersurfaces with constant rr-th mean curvature in Generalized Robertson-Walker spacetimes of constant sectional curvature. In particular, we treat the case in which the ambient spacetime is the de Sitter space.

Keywords

Cite

@article{arxiv.0911.2043,
  title  = {On the $r-$stability of spacelike hypersurfaces},
  author = {F. Camargo and A. Caminha and H. de Lima and M. Silva},
  journal= {arXiv preprint arXiv:0911.2043},
  year   = {2015}
}