Isotropic dual p-surface area measure  

作　　者：俞武扬 

机构地区：[1]Institute of Management Decision and Innovation,Hangzhou Dianzi University

出　　处：《Journal of Shanghai University(English Edition)》2010年第6期437-441,共5页上海大学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No.10671117)

摘　　要：It is shown that a convex body has minimal dual p-surface area among its affine transformations of the same volume if and only if its dual p-surface area measure is isotropic. A double-sided estimate for the （n-1）-dimensional volume of the intersection of a dual p-surface isotropic convex body in terms of its affine invariant dual p-surface quantity is given. Furthermore, the dual p-isopermetric inequality is obtained.It is shown that a convex body has minimal dual p-surface area among its affine transformations of the same volume if and only if its dual p-surface area measure is isotropic. A double-sided estimate for the （n-1）-dimensional volume of the intersection of a dual p-surface isotropic convex body in terms of its affine invariant dual p-surface quantity is given. Furthermore, the dual p-isopermetric inequality is obtained.

关 键 词：isotropic measure dual p-surface area L p-centroid bodies dual p-isopermetric inequality 

分 类 号：O186.5[理学—数学]