A Gauss curvature flow related to the Orlicz-Aleksandrov problem
Bin Chen, Peibiao Zhao
TL;DR
This paper introduces a Gauss curvature flow approach to solve the Orlicz-Aleksandrov problem, establishing the existence of smooth solutions and advancing understanding of curvature flows in geometric analysis.
Contribution
It presents a novel application of a Gauss-like curvature flow to prove the existence of smooth solutions for the Orlicz-Aleksandrov problem.
Findings
Existence of smooth solutions established
Curvature flow method successfully applied
Advances in geometric analysis techniques
Abstract
In this paper we first obtain the existence of smooth solutions to Orlicz-Aleksandrov problem via a Gauss-like curvature flow.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities