| 黎曼流形中管体积的泰勒展开式的通项 |
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| 引用本文： | 吴发恩. 黎曼流形中管体积的泰勒展开式的通项[J]. 数学进展, 2002, 31(2): 119-126 |
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| 作者姓名： | 吴发恩 |
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| 作者单位： | 北京北方交通大学理学院数学系,中国,北京,100044 |
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| 基金项目： | the National Natural Science Fundation of China (No. 10071087). |
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| 摘 要： | 利用Jacobi场方程解的Taylor展开式，我们得到了黎曼流形中管体积的Taylor展开式的通项。并推广、统一和简化了这方面的有关结果。
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| 关 键 词： | 黎曼流形 管 体积 泰勒展开式 通项 Fermi座标 Jacobi方程 |
| 修稿时间： | 1999-10-27 |
The General Expression of the Power Series for the Volumes of Tubes in a Riemannian Manifold |
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| Wu Faen. The General Expression of the Power Series for the Volumes of Tubes in a Riemannian Manifold[J]. Advances in Mathematics(China), 2002, 31(2): 119-126 |
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| Authors: | Wu Faen |
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| Abstract: | By making use of the Taylor expansion of the solutions of Jacobi equtions, we obtain a general expression of the power series expansion for the volumes of Tubes in a Riemannian manifold. This generalizes and unifies the known results and simplifies the computations involved in this direction. |
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| Keywords: | Fermi coordinates Jacobi equation Taylor expansion volumes of tubes |
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