An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere
Differential Geometry
2016-09-20 v1
Abstract
We find a monotone quantity along the inverse mean curvature flow and use it to prove an Alexandrov-Fenchel-type inequality for strictly convex hypersurfaces in the -dimensional sphere, .
Cite
@article{arxiv.1609.05806,
title = {An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere},
author = {Frederico Girão and Neilha M. Pinheiro},
journal= {arXiv preprint arXiv:1609.05806},
year = {2016}
}