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- It had been proved that the curvature tensor is a curl(grad),not zero except in Eucldean space,and so discovered the essence of Bianchi identity:div(rot(grad))=0,the curvature,forming tube field,is invariant along the tube,i. 证实 :曲率它正是非欧氏空间不为零的梯度的旋度 .;并发现 :Bianchi等式实质是div(rot(grad) ) =0;曲率形成管形场;沿管不变
- The more general case of a tensor field is similar but more complicated. 较普遍的张量场情况大致相似,但是更为复杂。
- At the same time,The curvature tensor expression of a Riemannian manifold under the special semi-symmetric metric-recurrent connections is also obtained. 同时给出了特殊半对称联络的黎曼流形曲率张量表示。
- In Riemannian manifolds, one studies Riemannian metric, covariant derivative, Riemannian connection, basic properties of the Riemann curvature tensor, curvature forms etc. 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 this paper, we investigate the whole formulas of the curvature tensor, Ricci curvature and scalar curvature on the singly and doubly warped product on Lorentzian manifolds. 给出了洛伦茨流形上的曲率张量、纯量曲率的计算公式;并推导出了洛伦茨流形上的二重扭积公式.
- curvature tensor of an affine connection 仿射联络的曲率张量
- Curvature Tensor of Riemannian Manifold 关于黎曼流形的曲率张量
- harmonic Mobius curvature tensor 调和Mobius曲率张量
- Secondly, the diffusion tensor field of the gray image at each pixel is calculated and applied to construct weighted gradient field, thus to create a divergence-based colorization equation. 然后计算每个像素的扩散张量,并利用这些扩散张量构造加权梯度场,从而导出基于散度的图像彩色化方程;
- harmonic Riemannian curvature tensor 调和Riemann曲率张量
- A nonlinear tensor-valued weighted directional-distance filtering method is proposed for regularizing the diffusion tensor field produced by diffusion tensor magnetic resonance imaging. 为了正则化扩散张量磁共振成像所产生的扩散张量场,提出了一种非线性张量值加权方向-距离滤波方法。
- tensor field of complex structure 张量场
- alternating covariant tensor field 共变交错张量场
- Curvature tensors, gauge field are actually curl field of gradient 曲率张量,规范场的实质:梯度的旋度场
- Suanifolds with the Vanishing Normal Curvature Tensor in Locally Syetric Space 局部对称黎曼流形中法曲率张量场消失的子流形
- THE RICCI AND BOCHNER TYPE CURVATURE TENSOR OF CONTACT RIEMANNIAN STRUCTURE Contact黎曼结构的Ricci与Bochner型曲率张量
- Yes, if we write them as rank-2 symmetric tensor fields, they satisfied Einstein equation.However, it is not clear how big a deal this is, since diffeomorphism is put in before hand. 在近似下,弦论可以得出广义相对论,从而一切证实广义相对论的实验都是对弦论的支持。
- The field artillery pounded away at the for tress. 野战炮兵连续炮击那座要塞。
- The Invariant of Projective Transformation of Semisymmetric Metric-recurrent Connections and Curvature Tensor Expressions 半对称度量循环联络射影变换的不变量及曲率张量表示
- The crowd cheered as the teams entered the field. 球队入场时观众们为之欢呼。