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- Based on the properties of Riemannian submanifold embedded in ambient space, the tangent and cotangent bundles of configuration space are projected onto free-motion subspace and constraint subspace. 基于黎曼子流形的相关理论，分析了位形流形上的自由速度子空间和约束力子空间的正交分解问题，并采用黎曼联络等工具分别给出了并联机器人在位形空间和工作空间的几何模型。
- riemannian submanifold 黎曼子廖
- Riemannian Geometry and Geometric Analysis 3rd ed. 黎曼几何与几何分析第3版。
- Let Nn+p(c)be an n+p dimensional Riemannian manifold with constant curvature c and Mn an n dimensional compact submanifold of Nn+p(c). It is known that there is a Simons'inequality when Mn is minimal. 设Mn是等距浸入在常曲率黎曼流形Nn+p(c)中的n维紧致子流形;若Mn是极小的;有著名的Simons不等式.
- AN INTRODUCTION TO DIFFERENTIABLE MANIFOLDS AND RIEMANNIAN GEOMETRY, REVISED. 微分流形与黎曼几何概论。
- General Riemannian geometry falls outside the boundaries of the program. 一般的黎曼几何在这个纲领所能包括的边界之外。
- Let M be a closed m-dimensional submanifold in the Euclidean space (or sphere Sm+p). 设M是欧几里德空间E~(m+p)或球S~(m+p)中的m维封闭子流形,T_(?)
- And for the special case that M is a Spin minimal submanifold,the estimate of eigenvalue gap is given. 特别地当M为Spin-极小子流形时，给出了其特征值间距和特征值估计。
- The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. 然而课程还将简单介绍了基本的黎曼几何和复流形的知识，并会详细讨论半单李群和对称空间的理论。
- W . M . Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry . Academic press , INC. 陈维桓：微分流形初步，高等教育出版社.
- It can be excluded with data dependent way based on Riemannian geometry for improved SVM. 基于黎曼几何的SVM数据依赖性改进方法能够剔除支持向量携带的冗余信息,改进SVM的性能。
- In the feature space, the mixing signals form a smaller submanifold, and an orthonormal basis of the submanifold is constructed. 将接收的混合信号映射到一个有限高维核特征空间，在这个特征空间中，利用核主成分分析方法寻找混合信号形成的子流形的一组正交基。
- 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。
- Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2. 高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式.
- In this paper,the geometry of submanifolds with parally mean curvature vector in a locally symmetric, conformally falt Riemannian manifold is studied. 本文研究局部对称共形平坦黎曼流形中具有平行平均曲率向量的紧致子流形的性质。
- The paper gives some conditions that a 2-harmonic space-like submanifole of a pseudo-Riemannian manifold of negative constant curvature is a maximal space-like submanifold. 用活动标架法给出了负常曲率的伪黎曼流形的2-调和子流形成为极大类空子流形的充分条件。
- We generalizes the concept of the parallel rays of Euclidian space to a complete noncompact Riemannian manifolds and discuss its properties. 第二部分是讨论了黎曼流形中的一些几何问题，主要是将欧氏空间平行射线的概念推广到一般黎曼流形，并研究其所具有的性质。
- B. L. Chen and X. P. Zhu in [CZ] consider the Ricci flow on complete Riemannian manifolds and get a Bonnet-Myers type result. 进一步的通过考虑完备黎曼流形上的Ricci流，陈兵龙和朱熹平在文[CZ]中还得到了一个判断完备流形一定是紧致流形的Bonnet-Myers型定理。
- 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。
- This paper deals with the regular curves in a Riemannian manifold with constant sectional curvature and the affine starlike curves in R2, R3 and R4. 本文研究了具有常截面曲率的黎曼流形中的正则曲线及二、三、四维空间中的仿射星形曲线。
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