Comparison formulas for total mean curvatures of Riemannian hypersurfaces

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.

Bibliographic Details
Main Author: Ghomi Mohammad
Format: Article
Language:English
Published: De Gruyter 2024-03-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0081