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arXiv · 2304.00660

Comparison formulas for total mean curvatures of Riemannian hypersurfaces

Mohammad Ghomi
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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.

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Mohammad Ghomi. 2023-04-03. Comparison formulas for total mean curvatures of Riemannian hypersurfaces. https://arxiv.org/abs/2304.00660

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