Harmonic mean curvature flow and geometric inequalities

DOI10.1016/j.aim.2020.107393zbMath1456.53075arXiv1903.05903OpenAlexW3083835192MaRDI QIDQ2213780

Yingxiang Hu, Haizhong Li, Ben Andrews

Publication date: 3 December 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05903

zbMATH Keywords

total curvatureAlexandrov-Fenchel inequalitiesstrictly convex hypersurfacescontracting curvature flow

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Non-Euclidean differential geometry (53A35) Flows related to mean curvature (53E10)

Related Items (9)

Asymptotic convergence for a class of anisotropic curvature flows ⋮ Geometric inequalities for free boundary hypersurfaces in a ball ⋮ Geometric inequalities for static convex domains in hyperbolic space ⋮ Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms ⋮ Geometric inequalities involving three quantities in warped product manifolds ⋮ Total mean curvatures of Riemannian hypersurfaces ⋮ Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary ⋮ The Minkowski inequality in de Sitter space ⋮ Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

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