曲率张量

baβ是“平面张量”的协变分量，叫做该曲面的曲率张量。

The quantities ba β are the covariant components of a plane tensor , called the curvature tensor of the surface .

复共形联络与Bochner曲率张量

On the complex conformal connection and the Bochner curvature tensor

Contact黎曼结构的曲率张量

Curvature tensor of contact riemannian structure

本文证明了在Contact黎曼流形（M.η.g）上，Bochner型曲率张量是Gauge变换的不变量当且仅当对应的Contact-Riemanian结构是可积的。

The purpose of this paper is to prove the Bochner Curvature tensor of Contact Riemannian manifold is an invariant of gauge transformations if and only if the CR-stucture Corresponding to (η,ω) is integrable .

局部对称黎曼流形中法曲率张量场消失的子流形

Submanifolds with the Vanishing Normal Curvature Tensor in Locally Symmetric Space

双自由度共轭曲面的诱导曲率张量

The relative curvature tensor of two degree of-freedom conjugate surfaces

具有调和曲率张量的拟爱因斯坦流形

On the Quasi - Einsteinian Manifold with Harmonic Curvature Tensor

黎曼流形中曲率张量的基本性质

Basic properties of the curvature tensor in Riemannian manifold

具有平行第二基本形式且法曲率张量场消失的子流形

Normal Curvature Disappeared Submanifolds with Parallel Second Fundamental Form

仿射联络的曲率张量

Curvature tensor of an affine connection

曲率张量独立分量的计算

Calculation independent component of curvature tensor

采用指标运算，给出了曲率张量和挠量张量的主要性质的证明。

In this paper , we prove the main properties of curvature and torsion tensors with indices calculus .

讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。

In the present paper , the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given .

同时给出了特殊半对称联络的黎曼流形曲率张量表示。

At the same time , The curvature tensor expression of a Riemannian manifold under the special semi-symmetric metric-recurrent connections is also obtained .

讨论了伪复空型的曲率张量表达式和一些几何特征，并给出了两个具体实例。

The curvature tensor R and some geometrical properties of the pseudo complex space form are discussed , and two examples are given .

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。

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 .

实验模拟验证了该算法的良好性能。（3）采用相关方法，设计一种基于单演曲率张量与数字图像相关的运动估计算法。

Experimental simulations verify the good performance of the algorithm . ( 3 ) A motion estimation algorithm based on monogenic curvature tensor and digital image correlation is designed by using correlation method .

在该算法中，先用单演曲率张量来提取图像的1维和2维结构信息，利用图像结构在光照变化下保持不变的优点，提高在光照不均匀条件下的运动估计精度。

In the algorithm , first 1D and 2D structural information of the image is extracted by monogenic curvature tensor to improve motion estimation accuracy under uneven illumination by using the advantage of image structure being invariant to illumination change .

应用虚功原理和各向同性张量函数定理，改进偶应力和曲率张量的本构关系。建立广义弹性体的动力学方程和含力偶的初边值条件。

Combining the principle of virtual work with the theorem for the isotropic tensor , the modified relationship was put forward for the couple stress and the curvature tensor , moreover the kinetic equation and the boundary conditions were given for the generalized elastic body .

微分流形上r阶联络到其丛空间的水平提升及相应的曲率与挠率张量

Horizontal lift of connection of order r on manifolds to the bundle spaces and the curvature & torsion tensors

由曲率驱动扩散模型设计思路的启发；将曲率驱动机制引入张量扩散的偏微分方程模型用于实现图像修复。

By the curvature-driven diffusion model inspired design ideas ; the curvature tensor diffusion-driven mechanism into the partial differential equation model for image restoration .