paper

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

arXiv:2508.20298

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.

21 pages, Comments are welcome