Approach to metric reconstruction based on trifocal tensor 一种基于三焦点张量的度量重建方法
The general static plane-symmetric metric yielded by static plane-symmetric scalar fields with traceless energy-momentum tensor has been found. The conformal property, symmetries and singularities are investigated. 求出了具有无迹能量动量张量的静态平面对称标量场产生的静态平面对称度规的通解,并讨论了这种度规的共形性质,对称性和奇异性等。
An algorithm of matrix on space metric tensor for complicated system 复杂系统的空间度量张量的矩阵算法
Calculation of Space Metric Tensor for 3-Dimensional Non-Cartesian Tensor 三维非笛卡儿张量的空间度量张量的计算
If the metric tensor is taken as induced tensor, the induced connection obtained from Cartan connection is given. 若取度量张量为诱导联络,则又给出了由Cartan联络给出的诱导联络。
The spacetime structure is expressed by the metric tensor and the metric tensor is confirmed by the Einstein field equation in the general relativity theory. 广义相对论告诉我们,时空结构由度规张量表示,度规张量由引力场方程确定。
The Metric Tensor of Gravitational Field and the General Relativity Effect in Planetary Motion 引力场的度规张量及行星运动的广义相对论效应
Then obtained the five-dimensional Einstein equation from Brane metric and five-dimensional energy-momentum tensor. Integrate it, got two Brane junction conditions. Applied to the Einstein equation, found an equation analogous to Friedmann equation. 然后由Brane度规和五维能动张量推得五维爱因斯坦方程,积分得到Brane边界条件,应用到爱因斯坦方程得到与Friedmann类似的方程。
Based on the algorithm of Delaunay triangulation, introduce a metric tensor to complete the surface triangulation. And the definition of the cavity in a Riemannian space is given. 在Delaunay三角剖分算法的基础上,通过引入黎曼度量矩阵完成了曲面非结构网格生成,并给出了黎曼空间下的近似外接圆准则。
This new method can successfully model both the local within-class similarity and the global geometric structure for the data set by learning a specific Lorentzian metric tensor. 该方法可以有效描述数据集的局部类内相似性和整体的几何结构。