Applications of new affine invariant for polytopes

被引：0

作者：

杨柳

何斌吾

机构：

[1] P.R.China

[2] Shanghai 200444

[3] Department of Mathematics Shanghai University

来源：

Applied Mathematics and Mechanics(English Edition) | 2008年 / 02期

基金：

中国国家自然科学基金;

关键词：

convex polytope; affine invariant; Minkowski problem; volume;

D O I：

暂无

中图分类号：

O175.29 [非线性偏微分方程];

学科分类号：

070104 ;

摘要：

To study the Schneider’s projection problem,Lutwak,Yang and Zhang recently introduced a new affine invariant functional U(P) for convex polytopes in R~n. In the paper,we obtain the analytic expression of the affine-invariant U(P) defined on a specific subclass of origin-symmetric convex polytopes in R~n and give an application of U(P) to the L-Minkowski problem.

引用

页码：273 / 278

页数：6

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