Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces
Differential Geometry
2014-07-29 v1
Abstract
In this paper, we deduce some rigidity results in warped product spaces under normal variations of CMC hypersurfaces. In particular, we prove the existence of one-parameter families locally rigid on the spatial fiber of Anti-de Sitter Schwarzschild spacetime and one-parameter families with bifurcation points on the spatial fiber of de Sitter Schwarzschild spacetime.
Keywords
Cite
@article{arxiv.1407.7500,
title = {Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces},
author = {Sandra C. García-Martínez and J. Herrera},
journal= {arXiv preprint arXiv:1407.7500},
year = {2014}
}
Comments
15 Pages, 1 Figure