| 黎曼流形上向量场奇异点的惟一性和简单牛顿迭代法 |
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| 引用本文： | 王金华,吴国桢. 黎曼流形上向量场奇异点的惟一性和简单牛顿迭代法[J]. 浙江大学学报(理学版), 2006, 33(1): 24-27 |
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| 作者姓名： | 王金华 吴国桢 |
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| 作者单位： | 1. 浙江大学,数学系,浙江,杭州,310027;浙江工业大学,数学系,浙江,杭州,310032
2. 浙江大学,数学系,浙江,杭州,310027 |
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| 摘 要： | 在中心Lipschitz条件下,证明了黎曼流形上向量场的简单牛顿迭代法的收敛性和黎曼流形上向量场的奇异点的惟一性定理.
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| 关 键 词： | 黎曼流形 向量场 协变导数 奇异点 |
| 文章编号： | 1008-9497(2006)01-024-04 |
| 收稿时间： | 2004-06-14 |
| 修稿时间： | 2004-06-14 |
Uniqueness of the singular point of a vector field on Riemannian manifold and its simple Newton''''s iteration |
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| WANG Jin-hua,WU Guo-zhen. Uniqueness of the singular point of a vector field on Riemannian manifold and its simple Newton''''s iteration[J]. Journal of Zhejiang University(Sciences Edition), 2006, 33(1): 24-27 |
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| Authors: | WANG Jin-hua WU Guo-zhen |
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| Affiliation: | 1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China ; 2, Department of Mathematics, Zhejiang University of Technology, Hangzhou 310032, China |
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| Abstract: | Under the assumption that the covariant derivatives of vector fields on Riemannian manifolds satisfy the center Lipschitz condition,the convergence of simple Newton's iteration for the vector fields is analyzed and the uniqueness result on singular points of the vector fields is given. |
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| Keywords: | Riemannian manifolds vector field covariant derivative singular point |
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