Alexandrov's Approach to the Minkowski Problem

2012/08/30 by S. S. Kutateladze, Kutateladze, S. S.
Mathematics · Physics and Astronomy · #Point processes and geometric inequalities #Geometric Analysis and Curvature Flows #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1208.6507

Abstract

This article is dedicated to the centenary of the birth of Aleksandr D. Alexandrov (1912-1999). His functional-analytical approach to the solving of the Minkowski problem is examined and applied to the extremal problems of isoperimetric type with conflicting goals.

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