摘要
讨论了高维球面上曲线的一则整体性质,该性质是二维球面上Crofton公式的推广.立足于积分几何,利用活动标架法,对Crofton公式在高维球面上的版本给出了一则简洁证明.
A global property of curves on a sphere with higher dimension is dicussed. The desired property is a generalization of the Crofton formula on two - dimensional sphere. Based on integral geometry, a short proof of the Crofton formula on higher dimensional sphere is given with moving frame method.
出处
《平顶山学院学报》
2013年第5期21-23,共3页
Journal of Pingdingshan University
