<p>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 [<CitationRef CitationID="CR12">12</CitationRef>, Theorem 1.3].</p>

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

  • Jihye Lee

摘要

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 [12, Theorem 1.3].