The solution of the Minkowski problem for closed surfaces in Riemannian space
Andrei I. Bodrenko
TL;DR
This paper introduces a novel method for solving the Minkowski problem specifically for closed surfaces within Riemannian space, advancing geometric analysis in curved spaces.
Contribution
It presents the first-ever method tailored to find solutions of the Minkowski problem in Riemannian space for closed surfaces.
Findings
Developed a new solution method for the Minkowski problem in Riemannian space.
First application of such a method to closed surfaces in curved geometry.
Potential implications for geometric analysis and Riemannian geometry.
Abstract
Author of this article created for the first time the method for finding solutions of the Minkowski problem for closed surfaces in Riemannian space.
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Taxonomy
TopicsMaterial Science and Thermodynamics · Advanced Theoretical and Applied Studies in Material Sciences and Geometry · Geometric Analysis and Curvature Flows