Christoffel-Minkowski flows
Paul Bryan, Mohammad N. Ivaki, Julian Scheuer
TL;DR
This paper introduces a curvature flow method with entropy preservation and a global term to address the regular Christoffel-Minkowski problem, offering a new geometric approach.
Contribution
It presents a novel curvature flow approach with entropy preservation and a global term for solving the regular Christoffel-Minkowski problem.
Findings
Established a curvature flow with entropy preservation
Proved convergence to solutions of the Christoffel-Minkowski problem
Provided new geometric insights into curvature flows
Abstract
We provide a curvature flow approach to the regular Christoffel-Minkowski problem. The speed of our curvature flow is of an entropy preserving type and contains a global term.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Mathematical Dynamics and Fractals