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arXiv · 2508.20298

A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds

Jihye Lee
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Abstract

We establish Willmore-type inequalities for bounded domains in complete non-compact Riemannian manifolds, under either asymptotic or integral Ricci curvature bounds. Those results recover a recent inequality of Jin-Yin arXiv:2402.02465.

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Jihye Lee. 2025-08-27. A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds. https://arxiv.org/abs/2508.20298

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