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词汇 riemannian
释义 riemannian ri:'mɑ:niәn BNC⁹⁷²³³⁺
基本英英例句
geometry数黎曼几何学

Adjective:
of or relating to Riemann's non-Euclidean geometry A nonexistence theorem is established for F- harmonic map with finite F- energy from Euclidean space to any Riemannian manifold.
建立了从欧氏空间到任何黎曼流形的具有有限 F-能量的 F-调和映照的非存在性定理。 cnki

At the most basic level, this course gives an introduction to the basic concepts of differential manifolds, exterior differentiation and Riemannian manifolds.
本课程主要介绍微分流形的基本概念和例子、外微分以及黎曼流形的初步知识。 www.gs.sjtu.edu.cn

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

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。 cnki

The definitions of pseudo- invex function and weak vector variation- like inequality on Riemannian manifolds are presented.
在黎曼流形上分别给出了伪不变凸函数和弱向量似变分不等式的概念。 dictall

The second variation formula of vertical energy functional for a submersion between Riemannian manifolds is calculated with a simple and direct manner.
对于黎曼流形的浸没建立了垂直能量泛函的二阶变分公式,研究强垂直调和映射的稳定性。 zidian8

A method based on Riemannian metric to the classification problem with imbalanced training data was proposed.
本文提出一种基于黎曼度量的训练样本类不平衡问题的分类方法。 www.meeting.edu.cn

Also, the paper discuss the existence of the infinite closed geodesics of a compact no- simply connected Riemannian manifold.
并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。 d.wanfangdata.com.cn

As an algebraic system, Lie triple systems arise upon consideration of certain sub- spaces of Riemannian manifolds, the totally geodesic submanifolds.
李三系作为一种代数体系,最初源于对黎曼流形的一类特殊子空间——全测地子流形的研究。 cnki

Einstein manifold is a particular kind of Riemannian Manifold, it has good characters, its definition is weaker than Riemannian Manifold with constant sectional curvature.
爱因斯坦流形是特殊的一种黎曼流形,它有很好的特征,其定义弱于常曲率黎曼流形。 cnki

Estimations of the moments of the hitting time by Brownian motions on general Riemannian manifolds are also obtained.
估计了一般黎曼流形上的布朗运动关于球面击中时的各阶矩。 dictall

Firstly, the multi- mode decomposition of Riemannian tensor is adopted and the face illumination is modeled.
该方法首先采用黎曼张量人脸图像多模态分解,建立人脸光照模型; cjig.cn

HCMU metric is a special kind of extremal metric on Riemannian surface with global rotational symmetric.
HCMU度量是黎曼曲面上极值度量的一个退化情形,具有整体旋转对称性。 dictall

In this paper, we gave an integral inequality for isometric immersed submanifolds with Parallel mean curvature vector in pinched Riemannian manifolds, and improve the result obtained by H. Q. Xu.
本文对一般拼挤黎曼流形中的具有平行平均曲率向量的等距浸入子流形给出了一个积分不等式,改进了已有的结果。 cnki

In this paper, we focus on these three problems and extend first two problems to Riemannian manifolds.
本文主要对上述三个问题进行较为深入的研究,并把前两个问题推广到黎曼流行上。 fabiao

In this paper, we give some characteristics of the Riemannian manifold contained the totally umbilical hypersurface family, and obtain that it is to be isometric to a sphere.
本文给出了容有全脐超曲面簇的黎曼流形的一些基本性质,并证得其与一球面等距。 cnki

In this paper, a possible Correction of non- Riemannian geometric relativity is made for Newton's Law of Gravitation.
本文对牛顿万有引力定律提出了一种非黎曼几何的相对论性的可能修正公式。 cnki

Let M be a compact and connected Riemannian manifold.
设 M是紧致连通的黎曼流形。 cnki

Let R and S be transcendental elliptic Riemannian surfaces.
设 R和 S为两个超越椭圆黎曼曲面。 cnki

Starting from the curvature of3- dimensional Riemannian manifold, a new complex space which can contain the information of both geometrical optics and wave optics is built.
从黎曼三维流形的曲率出发,构造了一个复空间.它的流线能兼容几何光学与波动光学的信息。 cnki

Taking into account the generalized uncertainty principleGUP, we calculate the density of quantum states near the event horizon of a common stationary black hole in pseudo- Riemannian space-time.
在考虑了广义不确定关系原理的基础上,计算了黎曼时空背景中的一般静态黑洞视界附近的量子态密度。 cnki

The author used this intrinsic connection to give the notion of horizontal mean curvatures of hypersurfaces in sub- Riemannian manifolds.
作者应用这个内在的联络给出了超曲面的水平平均曲率的几何定义。 cnki

The first part studies the boundary regularity of harmonic maps from hyperbolic space into non positively curved Riemannian manifolds.
第一部分研究从双曲空间到非正弯曲的黎曼流形的调和映射的边界正则性。 dictall

These results are in agreement with those obtained by general relativity expressed in Riemannian geometry and that from practical observations.
结果与用黎曼几何表述的广义相对论和实际观测相符。 cnki

This paper discusses the space- like submanifolds with constant mean curvature in a pseudo- Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
本文研究了伪黎曼空间型中具有常平均曲率的类空子流形,得到了这类空子流形的一个积分不等式及刚性定理。 dictall

Through using the inertial matrix, we analyse the manipulation of robot by the Riemannian curvature.
通过得到的惯性矩阵,应用黎曼曲率有效地分析了机器人动力学操作性能。 cnki

Under a suitable condition, this paper gives an existence theorem for harmonic maps from surfaces to certain Riemannian manifolds in a large scale.
在一定条件下,给出了一个从曲面出发的大范围调和映照的存在性定理。 dictall

Using the Riemannian geometry language, the modeling and control of general parallel robots are studied.
利用黎曼几何等工具研究了一般并联机器人的动力学建模和跟踪控制的一般化方法。 cnki

We study the existence of harmonic maps with free boundaries from disk into Riemannian manifolds.
本文研究带自由边界的调和映射的存在性。 cnki
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