英德
有道
百度
谷歌
图片
维基
百科
切向量场
tangent vector field
- 黎曼流形部分主要涉及黎曼度量，黎曼流形的定义，切向量场的协变微分，黎曼联络，黎曼几何的基本定理，曲率张量，曲率形式等概念和理论。
In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc. - 这是另一种形式，它意味着,要求出每点处向量在切向量方向的分量,我还是用之前那个向量场吧。
That is how we reformulated it. That means we take our curve and we figure out at each point how big the tangent component I guess I should probably take the same vector field as before. - 文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质，并讨论了李群上李代数的拓展。
In the paper, we discuss some properties of prolongation in which the vector field X of the manifold M polongs to the Cotangent Bundle T *M, and the Prolongation of the Lie algebra of Lie groups.
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