1) basic vector field
基向量场
2) fundamental vector field
基本向量场
1.
When the action of Lie groups G on E n is isometric, the author also obtains the fact that a curve is a line if the projectioin of a fundamental vector field to this curve which does not belong to an orbit is a nonzero constant.
证明了En 在李群G的等距作用下 ,对于一条不位于轨道上的曲线 ,若存在一个基本向量场在它上面的投影为非零常数 ,则它为直
2.
The author got some properties of the fundamental vector fields zero points in complete Riemanian G manifolds, and discussed the orbit types of a kinds of special Riemanian G manifolds.
得出了完备黎曼G 流形上基本向量场零点的一些性质 ;并对一类特殊的黎曼G 流形的轨道型进行了讨
3) normal field
法向量场
1.
Triangulation mesh generation of scatter points based on normal field;
基于法向量场的散乱点集三角网格化
4) Hamilton vector field
Hamilton向量场
1.
A class of perturbed cubic Z2-equivariant Hamilton vector field is discussed in this paper.
考虑一类扰动的平面三次Z2-等变Hamilton向量场,借助数值分析工具,利用平面动力系统分支理论和判定函数方法证明该向量场至少存在11个极限环,且给出这些极限环的相对位置分布。
2.
In this paper,Some properties of product poisson manifold are discussed,some formulas of Hamilton vector field are also obtained;Morover,the Concept of Poisson Group is introduced in this paper and is applied in poisson manifol
本文讨论了Poisson积流形的一些性质,得出了Hamilton向量场的若干公式;文中还引入Poisson群的概念,并给出了它在Poisson流形中的应用。
5) vector fields
向量场
1.
Existence of singular point and vector fields for the force of crust;
地壳受力的向量场及奇点的存在性
2.
It is studied that smooth linearizability and finitely smooth linearizability of some hyperbolic vector fields.
讨论了一类向量场X(x) =Ax +…在双曲奇点附近的光滑线性化及有限阶光滑线性化问题。
3.
An index formula of singularities of vector fields on manifolds with boundary due to M.
Morse关于带边流形上向量场的奇点指标公式 ,应用延拓形变成adapted场的方法 ,给出了该公式一个更为简洁本质的证明 ,得到Rn 中单连通区域上连续映射的孤立零点估计 。
6) Hopf vector field
Hopf向量场
1.
With a Sasaki metric defined by Hopf vector field,we show that the Hopf vector field has minimum volume on S2n+1 for all n.
采用切丛TS2n+1上的不同联络,证明了Hopf向量场是S2n+1上体积最小的单位向量场。
2.
In particular, we get Sasaki metric on unit tangent bundle T_1S~(2n+1), by which we calculate the volume of the Hopf vector field V_h.
在此度量下计算了奇数维球面S~(2n+1)上Hopf向量场V_H的体积，由Gysin序列得到了T_1S~(2n+1)的上同调群。
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