Christoffel-Minkowski flows

DOI10.1090/tran/8683OpenAlexW3029734768MaRDI QIDQ5881733

Mohammad N. Ivaki, Paul Bryan, Julian Scheuer

Publication date: 13 March 2023

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14680

zbMATH Keywords

curvature flowChristoffel-Minkowski problen

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Second-order parabolic equations (35K10)

Related Items (3)

Asymptotic convergence for a class of anisotropic curvature flows ⋮ A curvature flow approach to \(L^p\) Christoffel-Minkowski problem for \(1<p<k+1\) ⋮ Prescribed \(L_p\) curvature problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deforming a hypersurface by Gauss curvature and support function
• Volume preserving centro-affine normal flows
• Convex hypersurfaces of prescribed Weingarten curvatures
• Convex hypersurfaces evolving by volume preserving curvature flows
• Volume-preserving flow by powers of the \(m\)th mean curvature
• Evolving convex curves
• Contraction of convex hypersurfaces in Euclidean space
• The Christoffel-Minkowski problem. I: Convexity of solutions of a Hessian equation
• A logarithmic Gauss curvature flow and the Minkowski problem.
• Volume-preserving nonhomogeneous mean curvature flow of convex hypersurfaces
• Quermassintegral preserving curvature flow in hyperbolic space
• Entropy estimates for evolving hypersurfaces
• Volume preserving curvature flows in Lorentzian manifolds
• Parabolic approaches to curvature equations
• The Christoffel problem by the fundamental solution of the Laplace equation
• Curvature flows in the sphere
• Intermediate Christoffel-Minkowski problems for figures of revolution
• The surface area preserving mean curvature flow
• Mixed volume preserving curvature flows
• The volume preserving mean curvature flow.
• Centered Bodies and Dual Mixed Volumes
• Volume preserving anisotropic mean curvature flow
• A Priori Estimates for Fully Nonlinear Parabolic Equations
• Convex Bodies The Brunn-MinkowskiTheory
• Pinching estimates and motion of hypersurfaces by curvature functions
• The determination of convex bodies from their mean radius of curvature functions

This page was built for publication: Christoffel-Minkowski flows