黎曼流形上向量场奇异点的惟一性和简单牛顿迭代法

Uniqueness of the singular point of a vector field on Riemannian manifold and its simple Newton's iteration.

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.

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.