Isoperimetric Type Inequalities and Hypersurface Flows

DOI10.4208/jms.v54n1.21.03zbMath1474.51017OpenAlexW3126122357MaRDI QIDQ4996000

Pengfei Guan, Junfang Li

Publication date: 1 July 2021

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v54n1.21.03

zbMATH Keywords

quermassintegralsgeometric inequalitieshypersurface curvature flows

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) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

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On an inverse curvature flow in two-dimensional space forms ⋮ Geometric inequalities for static convex domains in hyperbolic space ⋮ Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms ⋮ Stability of the quermassintegral inequalities in hyperbolic space ⋮ Mean curvature type flow and sharp Michael-Simon inequalities ⋮ On the mean curvature type flow for convex capillary hypersurfaces in the ball ⋮ New weighted geometric inequalities for hypersurfaces in space forms ⋮ Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary ⋮ Stability of quermassintegral inequalities along inverse curvature flows ⋮ Locally constrained inverse mean curvature flow in GRW spacetimes ⋮ On an area-preserving locally constrained inverse curvature flow of convex curves ⋮ The Minkowski inequality in de Sitter space ⋮ Alexandrov-Fenchel type inequalities in the sphere

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