Riemannian metric

Surface Mesh Generation Based on Riemannian Metric

基于黎曼度量的复杂参数曲面有限元网格生成方法

D - sufficiency of bifurcation problems under singular Riemannian metric

奇异黎曼度量之下的分支问题的d-充分性

Deeply study the relationship between the Riemannian metric and the adjoint operator Ad kk ?

对Riemannian流形中的度规与空间伴随算子的内在联系作了深入研究，并给出了具体的映射关系。

In the end , the problem of robot trajectory planning is investigated by the linearization method and Riemannian metric .

最后，应用近似化方法和黎曼度量方法，研究了机器人最优轨迹规划的问题。

The Riemannian metric of fiber bundles

纤维丛的黎曼度量

On the deformation of a Riemannian metric v_m of class I which preserves the mean curvature

论保持平均曲率的黎曼测度Vm在欧氏空间E（m+1）的变形

However , mapped method tends to generate distortion elements , which leads to poor quality meshes . Based on mapped method , the Riemannian metric was applied .

针对映射法容易产生畸变而导致网格质量较差的问题，提出了一种黎曼度量和前沿推进技术相结合的曲面网格生成方法。

The examples demonstrate the advantages of the mesh generation scheme based on Riemannian metric which indicating that high quality surface meshes can be generated within a reasonable time limit .

算例表明，该算法对复杂曲面能够生成高质量的网格，而且整个算法具有很好的时间特性和可靠性。

Can the fundamental groups of any compact topological manifold determin that it admits a non-positively curved Riemannian metric ?

反之，对于紧致拓扑流形，能否由基本群决定在它上面是否容许有非正曲率的黎曼度量？

Under the invariance principle , the manifold is proved to have a unique Riemannian metric given by the Fisher information matrix , and a dual pairs of affine connections .

统计流形在一定的不变原则下被证明具有唯一的黎曼度量，即为Fisher信息阵，以及一对对偶的仿射联络。

Riemannian metric is introduced to define mesh sizes and to calculate point-to-point distances , thus a traditional isotropic Bowyer-Watson kernel for Delaunay mesh generation is revised for Riemannian context of planar anisotropic mesh generation .

在各向同性算法中引入黎曼度量表征单元尺寸，计算两点距离，获得黎曼度量场下的Bowyer-Watson增量插点内核，实现平面各向异性Delaunay网格生成。

We think that conformal surface parameterization is equivalent to finding a proper Riemannian metric on the surface , such that the metric is conformal to the original metric and induces zero Gaussian curvature for all interior points .

认为曲面的共形参数化过程等价于寻找一个合适的黎曼度量，使得该度量和网格的初始度量共形等价，并且它所诱导的Guass曲率在内部点处为零。

A dual affine structure is constructed on it and a divergence is defined as a distance like measure . Furthermore , the Riemannian metric , α - connections and α - curvatures of the Fisher Z manifold are given .

讨论了FisherZ分布流形的对偶结构及其平坦性，进而给出了该流形的黎曼度量、α仿射联络和α曲率，并在该统计流形上定义了散度来衡量两点之间的距离；

A new definition concerning the Riemannian metric of bundle spaces is given by using of the Riemannian metric of related base spaces and fibers . Theorem 1 and theorem 2 give the line elements of the metric for the vector bundles and for the principal bundles , respectively .

如何从纤维丛的底空间和纤维型的黎曼度量构造丛空间的黎曼度量，接着，定理1和定理2分别给出了向量丛和主丛关于这种度量的线素。

On groups of motions in a Riemannian space with indefinite metric

关于非正定的黎曼空间中的运动群

On the Group of Conformal Transformations of a Riemannian Space with Indefinite Metric

关于线素非正定的黎曼空间的共形变换群