球面上Wirtinger不等式的一个几何应用

A Geometrical Application of the Wirtinger Inequality on Sphere-space

利用球面上的Wirtinger不等式研究由Fradelizi,Giannopoulos和Meyer得到一组关于均质积分的不等式,对于这细小等式中k=n-2的情形给出了一种简单的证明.

In this paper, we investigate some quermassintegrals inequalities which have been obtained by Fradelizi, Giannopoulos and Meyer, via the Wirtinger inequality on sphere-space. Further,we give a simple proof of this inequality for the case k = n-2.