A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifolds
Differential Geometry
2018-06-05 v1
Abstract
Using spinorial techniques, we prove, for a class of pseudo-hyperbolic ambient manifolds, a Heintze-Karcher type inequality. We then use this inequality to show an Alexandrov type theorem in such spaces.
Keywords
Cite
@article{arxiv.1806.01120,
title = {A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifolds},
author = {Frederico Girão and Diego Rodrigues},
journal= {arXiv preprint arXiv:1806.01120},
year = {2018}
}