摘要
本文建立了En中的凸体与其位似体的包含测度的相等关系.同时给出了凸体Minkowski和的 包含测度的估计。最后证明了E3中的关于原点对称的旋转椭球与其截面体相似的充要条件是K为以原 点为心的球。
In this paper, we establish the equality relation of inclusion measures of convex bodies and their homothetic bodies in En. We also give the estimation of inclusion measures of convex bodies. Finally it shows that an ellipsoid of revolution in E9 is similar to its intersection body if and only if K is a centered ball.
出处
《数学杂志》
CSCD
北大核心
2003年第1期6-10,共5页
Journal of Mathematics
关键词
截面体
凸体
包含测度
convexbody
inclusion measure
intersection body
