Umbilicity of constant mean curvature hypersurfaces into space forms
Differential Geometry
2022-11-07 v1
Abstract
In this paper we establish conditions on the length of the traceless part of the second fundamental form of a complete constant mean curvature hypersurface immersed in a space of constant sectional curvature in order to show that it is totally umbilical.
Keywords
Cite
@article{arxiv.2211.02238,
title = {Umbilicity of constant mean curvature hypersurfaces into space forms},
author = {A. C. Bezerra and F. Manfio},
journal= {arXiv preprint arXiv:2211.02238},
year = {2022}
}
Comments
14 pages, comments welcome