arXiv subjects

Sandra C. García-Martínez

Publications and source records attributed to Sandra C. García-Martínez.

2 recordsLinked to original sources

arXiv2014

Rigidity and bifurcation results for CMC hypersurfaces in warped product spaces

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.

math.DG↗

arXiv2013

A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces

In this paper we obtain a sharp height estimate concerning compact hypersurfaces immersed into warped product spaces with some constant higher order mean curvature, and whose boundary is contained into a slice. We apply these results to draw topological conclusions at the end of the paper.

math.DG↗