Comparison formulas for total mean curvatures of Riemannian hypersurfaces
Differential Geometry
2023-06-21 v2
Abstract
We devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds. This yields a quicker proof of a recent result of the author with Joel Spruck, which had been obtained via Reilly's identities.
Keywords
Cite
@article{arxiv.2304.00660,
title = {Comparison formulas for total mean curvatures of Riemannian hypersurfaces},
author = {Mohammad Ghomi},
journal= {arXiv preprint arXiv:2304.00660},
year = {2023}
}
Comments
7 pages; Minor Revisions; Accepted for publication in a special volume of Advanced Nonlinear Studies in honor of Joel Spruck