Weighted geometric inequalities for hypersurfaces in sub‐static manifolds

DOI10.1112/blms.12312zbMath1443.52005arXiv1902.07335OpenAlexW2915230069WikidataQ126434621 ScholiaQ126434621MaRDI QIDQ5110605

Frederico Girão, Diego Samuel Rodrigues

Publication date: 21 May 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07335

zbMATH Keywords

volumeinverse mean curvature flowweighted areaequality conditionsweighted geometric inequalities

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Flows related to mean curvature (53E10)

Related Items (7)

A class of weighted isoperimetric inequalities in hyperbolic space ⋮ A geometric capacitary inequality for sub-static manifolds with harmonic potentials ⋮ Some De Lellis-Topping type inequalities and their applications on an NCC Riemannian triple with boundary ⋮ Geometric inequalities involving three quantities in warped product manifolds ⋮ Poincaré type inequality for hypersurfaces and rigidity results ⋮ New weighted geometric inequalities for hypersurfaces in space forms ⋮ Weighted Alexandrov–Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang, and Wu

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