Cone-volume measures of polytopes
Cone-volume measures of polytopes
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DOI：
10.1016/j.aim.2013.11.015
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发表时间：
2013-05
期刊：
影响因子：
--
通讯作者：
M. Henk;Eva Linke
中科院分区：
文献类型：
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作者：
M. Henk;Eva Linke
证明了以质心为原点的多面体锥体体积测度满足子空间浓度条件。结果，U 函数的猜想（十几年前）的基本锐仿射等周不等式及其相等条件就完全成立了。
The cone-volume measure of a polytope with centroid at the origin is proved to satisfy the subspace concentration condition. As a consequence a conjectured (a dozen years ago) fundamental sharp affine isoperimetric inequality for the U-functional is completely established – along with its equality conditions.