1) N Jacobi field
N-Jacobi场
2) jacobi field
Jacobi场
1.
The paper discusses the relations between parallel vector fields and Jacobi fields in a complete Riemannian manifold, and proves that there exists infinite closed geodesics in a local symmetric space which is orientable, compact, nonsimply connected and with nonnegative sectional curvature.
讨论了曲率定号的完备黎曼流形上的平行向量场与Jacobi场之间的关系;证明了紧致的偶数维具非负曲率的非单连通局部对称空间上存在无穷多条长度一样的闭测地线。
2.
In the paper, we discuss the geometry of a complete Riemannian manifold by the concepts and theorems of Jacobi field、Ranch*s Comparison Theorem and Soul etc.
利用Jacobi场、Rauch比较定理、核心等概念和定理讨论了完备黎曼流形的若干几何性质。
3.
By using Jacobi field and index form, the author prives that a complete Riemannian manifold M2 of dimension 2 with nonnegative curvature must be isometric to R2, if M2 has no conjugate point.
利用沿测地线的Jacobi场和指标形式,证明了具非负曲率的完备2维黎曼流形M~2如果没有共轭点,必等距于R~2。
3) vertical Jacobi fields
垂直Jacobi场
4) Jacobian
[dʒæ'kəubiən]
Jacobi
1.
Some Jacobians of the Transformation between Random Vectors and Matrices;
Jacobi行列式的计算
2.
This involves computing the Jacobians of these transformations.
随机矩阵之间变换的Jacobi行列式的计算,常规方法就是求出变换的行列式的元素再求行列式值,这一方法能计算许多变换的Jacobi,但其计算量非常大,有时甚至无法算出结果。
5) battlefield
[英]['bætlfi:ld] [美]['bætḷ'fild]
n.战场
6) stadium
[英]['steɪdiəm] [美]['stedɪəm]
n.体育场
补充资料：Jacobi向量场
Jacobi向量场
Jacoin vector field
Jaa无i向量场[而“肠，“为贾五dd;只劝6“"o胎] 沿测地线(即司“ic五Ile)满足加伽俪方程(Jacobi叫之左山。n)的向量场，沈一兵译
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条