Continuity of total curvatures of Riemannian hypersurfaces

Mohammad Ghomi

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arXiv · 2511.15955

Continuity of total curvatures of Riemannian hypersurfaces

Mohammad Ghomi

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Abstract

We show that total generalized mean curvatures of hypersurfaces with positive reach in Riemannian manifolds, and convex bodies in Cartan-Hadamard spaces, are continuous with respect to Hausdorff distance.

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BibTeX RIS

Mohammad Ghomi. 2025-11-20. Continuity of total curvatures of Riemannian hypersurfaces. https://arxiv.org/abs/2511.15955

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