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
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
收藏
页码:553 / 564
页数:12
相关论文
共 50 条
[31]   Lp-mixed intersection bodies and star duality [J].
Chang-Jian, Zhao ;
Cheung, Wing-Sum .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2010, 120 (04) :429-440
[32]   General mixed width-integral of convex bodies [J].
Feng, Yibin .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4226-4234
[33]   p-MINKOWSKI INEQUALITIES FOR MIXED INTERSECTION BODIES [J].
Zhao Chang-jian ;
Bencze, Mihaly .
MISKOLC MATHEMATICAL NOTES, 2010, 11 (02) :121-128
[34]   ORIGIN-SYMMETRIC BODIES OF REVOLUTION WITH MINIMAL MAHLER VOLUME IN R3-A NEW PROOF [J].
Lin, Youjiang ;
Leng, Gangsong .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03) :375-404
[35]   PARALLEL SECTIONS HOMOTHETY BODIES WITH MINIMAL MAHLER VOLUME IN Rn [J].
Lin, Youjiang ;
Leng, Gangsong .
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (04) :1023-1029
[36]   Cone-volume measure of general centered convex bodies [J].
Boeroeczky, Karoly J. ;
Henk, Martin .
ADVANCES IN MATHEMATICS, 2016, 286 :703-721
[37]   The Brunn-Minkowski inequality for volume differences [J].
Leng, GS .
ADVANCES IN APPLIED MATHEMATICS, 2004, 32 (03) :615-624
[38]   SOME INEQUALITIES ABOUT DUAL MIXED VOLUMES OF STAR BODIES [J].
李小燕 ;
冷岗松 .
Acta Mathematica Scientia, 2005, (03) :505-510
[39]   General Lp-mixed chord integrals of star bodies [J].
Li, Zhaofeng ;
Wang, Weidong .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, :1-12
[40]   Some inequalities about dual mixed volumes of star bodies [J].
Li, XY ;
Leng, GS .
ACTA MATHEMATICA SCIENTIA, 2005, 25 (03) :505-510