Applications of new affine invariant for polytopes

被引：0
|
作者：
Liu Yang
Bin-wu He
机构：
[1] Shanghai University,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2008年 / 29卷
关键词：
convex polytope; affine invariant; Minkowski problem; volume; O175.29; 52A40;
D O I：
暂无
中图分类号：
学科分类号：
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 Rn. 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 Rn and give an application of U(P) to the Lp-Minkowski problem.
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收藏
页码：273 / 278
页数：5
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