1) parallel vector field

平行向量场
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) parallel normal vector field

平行法向量场
3) parallel vectors

平行向量
5) parallel vetor fields

平行矢量场
6) vectors/parallel mean currature vector

向量/平行平均曲率向量
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
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参考词条