| 球面上的Crofion公式 |
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| 引用本文： | 李文.球面上的Crofion公式[J].平顶山师专学报,2013(5):21-23. |
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| 作者姓名： | 李文 |
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| 作者单位： | 平顶山学院数学与信息科学学院,河南平顶山467099 |
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| 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．
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| 关 键 词： | Crofton公式 积分几何 活动标架法 |
The Crofton Formula on a Sphere |
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| LI Wen.The Crofton Formula on a Sphere[J].Journal of Pingdingshan Teachers College,2013(5):21-23. |
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| Authors: | LI Wen |
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| Institution: | LI Wen ( School of Mathematics and Information Science, Pingdingshan University, Pingdingshan, Henan 467099, China) |
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| Abstract: | 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. |
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| Keywords: | Crofton formula integral geometry moving frame method |
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