Volume differences of mixed complex projection bodies

被引：6

作者：

Zhao, Chang-Jian ^{[1
]}

机构：

[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Peoples R China

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2014年 / 21卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Projection bodies; Mixed complex projection bodies; Brunn-Minkowski inequality; Aleksandrov-Fenchel inequality; MINKOWSKI; INEQUALITIES; VALUATIONS; ALEKSANDROV; ZONOIDS;

D O I：

10.36045/bbms/1407765889

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Abardia and Bernig introduced the notion of mixed complex projection bodies and established a number of important geometric inequalities for them. In the present paper we prove several new isoperimetric type inequalities for volume differences of mixed complex projection bodies.

引用

页码：553 / 564

页数：12

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