| 关于笛卡儿圆定理的一个注记 |
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| 引用本文： | 武清.关于笛卡儿圆定理的一个注记[J].青岛大学学报(自然科学版),1997,10(3):28-30. |
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| 作者姓名： | 武清 |
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| 作者单位： | 青岛大学数学系!青岛266071 |
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| 摘 要： | 本文用距离几何的方法将笛卡儿圆定理推广到高维空间及非欧空间．在曲率为 Ｋ的ｎ维常曲率空间中任意ｎ＋２个两两外切的ｎ－１维球的测地线曲率的平方和等于其和的平方的ｎ分之一减去空间曲率的两倍．
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| 关 键 词： | 抽象距离空间 秩 笛卡儿圆 |
A NOTE OF CARTESIAN CIRCLE THEOREM |
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| Wu Qing.A NOTE OF CARTESIAN CIRCLE THEOREM[J].Journal of Qingdao University(Natural Science Edition),1997,10(3):28-30. |
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| Authors: | Wu Qing |
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| Abstract: | This paper generalizes Cartesian Circle theorem by using the method of distance geometry: In a n- dimensional space of constant curvatune K, we give n 2 (n - 1)- dimensional spheres which are tangent each other, then the sum of their geodesic curvatune's square equals to 1/n of the square of their geodesic curvatune's sum minus 2K. |
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| Keywords: | Cartesian Circle Distance geometry Order |
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