A Remarkable Measure Preserving Diffeomorphism between two Convex Bodies in ℝn

被引：0

作者：

S. Alesker

S. Dar

V. Milman

机构：

[1] Tel-Aviv University,Department of Mathematics

来源：

Geometriae Dedicata | 1999年 / 74卷

关键词：

Brenier map; Alexandrov-Fenchel inequalies.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that for any two convex open bounded bodies K and T there exists a diffeomorphism f : K → T preserving volume ratio (i.e. with constant determinant of the Jacobian) and such that the Minkowski sum K + T { x + f (x) | x ∈ K }. As an application of this method, we prove some of the Alexandov–Fenchel inequalities.

引用

页码：201 / 212

页数：11

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