Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
From MaRDI portal
Publication:5045620
DOI10.1090/tran/8756OpenAlexW3212670607MaRDI QIDQ5045620
Publication date: 7 November 2022
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05773
Inequalities and extremum problems involving convexity in convex geometry (52A40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Parabolic Monge-Ampère equations (35K96)
Related Items (3)
A constrained mean curvature type flow for capillary boundary hypersurfaces in space forms ⋮ On the mean curvature type flow for convex capillary hypersurfaces in the ball ⋮ Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The inverse mean curvature flow perpendicular to the sphere
- An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality
- Rigidity results, inverse curvature flows and Alexandrov-Fenchel type inequalities in the sphere
- The quermassintegral inequalities for \(k\)-convex starshaped domains
- Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
- Stability of hypersurfaces with constant \(r\)-mean curvature
- On stability of capillary surfaces in a ball
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Regularity theory for mean curvature flow
- Strictly convex submanifolds and hypersurfaces of positive curvature.
- Quermassintegral preserving curvature flow in hyperbolic space
- Isoperimetric inequalities for quermassintegrals
- Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space
- Alexandrov-Fenchel type inequalities in the sphere
- Locally constrained curvature flows and geometric inequalities in hyperbolic space
- Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball
- A mean curvature type flow with capillary boundary in a unit ball
- Uniqueness of stable capillary hypersurfaces in a ball
- Nonnegatively curved hypersurfaces with free boundary on a sphere
- Inequalities for quermassintegrals on \(k\)-convex domains
- A geometric inequality on hypersurface in hyperbolic space
- Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
- Hyperbolic Alexandrov-Fenchel quermassintegral inequalities. II
- Rigidity and convexity of hypersurfaces in spheres
- A fully-nonlinear flow and quermassintegral inequalities in the sphere
- Some Higher Order Isoperimetric Inequalities via the Method of Optimal Transport
- Comparison theorems for manifolds with mean convex boundary
- Zerlegung konvexer Körper durch minimale Trennflächen.
- A family of higher-order isoperimetric inequalities
- A fully-nonlinear flow and quermassintegral inequalities
- Classical Neumann Problems for Hessian Equations and Alexandrov–Fenchel’s Inequalities
- A volume preserving flow and the isoperimetric problem in warped product spaces
- Locally constrained inverse curvature flows
- A Mean Curvature Type Flow in Space Forms
- A geometric inequality for convex free boundary hypersurfaces in the unit ball
- Convex Bodies The Brunn-MinkowskiTheory
- Integral geometry and the Gauss-Bonnet theorem in constant curvature spaces
This page was built for publication: Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
