Complete hypersurfaces with $w$-constant mean curvature in the unit spheres
Differential Geometry
2023-11-17 v1
Abstract
In this paper, we study -dimensional complete hypersurfaces with -constant mean curvature in the unit sphere. We give a lower bound of the scalar curvature for -dimensional complete hypersurfaces with -constant mean curvature. As a by-product, we give a new proof of the result of Deng-Gu-Wei under the weaker topological condition.
Keywords
Cite
@article{arxiv.2212.09210,
title = {Complete hypersurfaces with $w$-constant mean curvature in the unit spheres},
author = {Qing-Ming Cheng and Guoxin Wei},
journal= {arXiv preprint arXiv:2212.09210},
year = {2023}
}