Comparison formulas for total mean curvatures of Riemannian hypersurfaces

2023/04/03 by Mohammad Ghomi, Ghomi, Mohammad · 1 citation
Mathematics · Engineering · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #3D Shape Modeling and Analysis

paper · pdf · doi:10.48550/arxiv.2304.00660

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.

Cited by

• Continuity of total curvatures of Riemannian hypersurfaces

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