黎曼流形中管体积的泰勒展开式的通项  

The General Expression of the Power Series for the Volumes of Tubes in a Riemannian Manifold

作　　者：吴发恩[1] 

机构地区：[1]北京北方交通大学理学院数学系

出　　处：《数学进展》2002年第2期119-126,共8页Advances in Mathematics（China）

基　　金：the National Natural Science Fundation of China (No. 10071087).

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．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.

关 键 词：黎曼流形 管 体积 泰勒展开式 通项 Fermi座标 Jacobi方程 

分 类 号：O186.1[理学—数学]