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
收藏
页码：273 / 278
页数：6
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