Lp Minkowski valuations on polytopes

被引：20
|
作者：
Li, Jin [1 ,2 ]
Leng, Gangsong [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] TU Wien, Inst Diskrete Math & Geometrie, A-1040 Vienna, Austria
来源：
ADVANCES IN MATHEMATICS | 2016年 / 299卷
基金：
中国国家自然科学基金;
关键词：
L-infinity Minkowski valuation; L-infinity projection body; L-p Minkowski valuation; Function-valued valuation; SL(n) contravariant; SL(n) covariant; PROJECTION BODIES; FIREY THEORY; AFFINE;
D O I：
10.1016/j.aim.2016.05.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For 1 <= p < infinity, Ludwig, Haberl and Parapatits classified L-P Minkowski valuations intertwining the special linear group with additional conditions such as homogeneity and continuity. In this paper,a complete classification of L-p Minkowski valuations intertwining the special linear group on polytopes without any additional conditions is established for p >= 1 including p = infinity. For n = 3 and p = 1, there exist valuations not mentioned before. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：139 / 173
页数：35
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