摘要
本文研究了Rn中凸集上不变的赋值函数与凸体的投影问题.利用赋值函数的方法,我们获得了凸体在任意维平面上投影的Cauchy公式和Kubota公式,这些结果推广了经典的Cauchy公式和Kubota公式.
In this paper,we investigate the invariant valuations and the projection of convex bodies of Rn.By using the method of valuations defined on convex bodies,we obtain the generalized Cauchy formula and the generalized Kubota formula for convex bodies.These results extend the classical Cauchy formula and Kubota formula.
出处
《数学杂志》
CSCD
北大核心
2012年第2期217-223,共7页
Journal of Mathematics
基金
Supported by Guizhou Fundation for Science and Technology ([2010]2242)
