Orlicz mixed affine quermassintegrals  

作　　者：LI DeYi ZOU Du XIONG Ge 

机构地区：[1]College of Science, Wuhan University of Science and Technology [2]Department of Mathematics, Shanghai University

出　　处：《Science China Mathematics》2015年第8期1715-1722,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11471206)

摘　　要：A class of geometric quantities for convex bodies is introduced iu the framework of Orlicz Brunn- Minkowski theory. It is shown that these new geometric quantities are affine invariant and precisely the generalizations of classical affine quermassintegrals.A class of geometric quantities for convex bodies is introduced in the framework of Orlicz BrunnMinkowski theory. It is shown that these new geometric quantities are affine invariant and precisely the generalizations of classical affine quermassintegrals.

关 键 词：Orlicz Brunn-Minkowski theory integral geometry affine quermassintegral 

分 类 号：O186.5[理学—数学]