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科学研究
Isoperimetric Problem and Minkowski Problems in Integral Geometric Analysis
发布时间:2021-03-17浏览次数:

题目:Isoperimetric Problem and Minkowski Problems in Integral Geometric Analysis

报告人:周家足 教授(西南大学)

地点:致远楼101室

时间:2021年3月17日15:30-16:30

Abstract: Isoperimetric problem is to determine a convex body of maximum volume with fixed surface area and is equivalent to the isoperimetric inequality. The Minkowski problem in differential geometry asked for necessary and sufficient conditions such that a positive smooth function on the sphere is the Gauss curvature of a convex hypersurface.This problem has been solved by Nirenberg, Pogorelov, Cheng-Yau and others. Those two problems are among the most important and closely related problems in mathematics. We will address Minkowskin problems in integral and convex geometry that are inspired by Lutwak-Yang-Zhang.

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