Research profile
Works on geometric inequalities, inverse mean curvature flow and boundaries & non-compact.
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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.
We prove capacity inequalities involving the total mean curvature of hypersurfaces with boundary in convex cones and the mass of asymptotically flat manifolds with non-compact boundary. We then give the analogous of Pölia-Szegö, Alexandrov-Fenchel and Penrose type inequalities in this setting. Among the techniques used in this paper are the inverse mean curvature flow for hypersurfaces with boundary.
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NP-RC-418766 is C. Tiarlos Cruz's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
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