sheets of rieman surface

The distance length and kinetic energy of 2-dof manipulator are regarded as Riemannian metrics respectively by modern differential geometry, and they determine the corresponding Riemannian surfaces, which represent the global manipulability of manipulator s kinematics and dynamics.对黎曼曲面上的测地线和黎曼曲率进行了定量分析 ,利用曲面上的测地线和黎曼曲率的几何性质 ,提出基于测地线的最优轨迹规划方法和基于黎曼曲率的工作空间优化方法 ,并以平面 2 R机器人为例进行了实例计算。3T8汉语字典

(M,g) is assumed to be a Riemannian surface, the paper stated here firstly defines the φ- Dirichlet integral of the functions on M, then reaches the main theorem about the bounded property of the φ-subharmonic functions on M with finite φ-Dirichlet integral.(M,g)是黎曼曲面,该文给出了M上函数的φ-Dirichlet积分的定义,并在此基础上 得到了一个关于具有有限的φ-Dirichlet积分的φ-次调和函数的有界性定理。3T8汉语字典

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。3T8汉语字典

The Significance of Elementary Poly-Valued Complex Functions on Riemann Sunface初等多值复函数在黎曼曲面上的意义3T8汉语字典

Compact Hyper-surface with Constant Mean Curvature in Locally Symmetric Manifold;局部对称黎曼流形中的常平均曲率紧致超曲面3T8汉语字典

Hynersurface with Constant Sclar Currature in QC Riemannian Manifold;常QC黎曼流形中具有常数量曲率的超曲面3T8汉语字典

On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in Locally Symmetric Quasi-constant Curvature Space;局部对称拟常黎曼流形中常平均曲率超曲面的截面曲率的Pinching定理3T8汉语字典

Harmonic Maps with Potential and Hyper-surface in the Ricci Symmetric Riemannian Manifold带有位势的调和映射和对称黎曼流形的超曲面3T8汉语字典

Rigidity Theorems for Some Hypersurfaces in a Locally Symmetric Manifold局部对称黎曼流形中某类超曲面的刚性定理3T8汉语字典

Campact Hypersurfaces with Constant Mean Curvature in Riemannian Manifolds with Parallel Ricci CurvatureRicci曲率平行的黎曼流形中具有常平均曲率的紧致超曲面3T8汉语字典

Complete Hypersurfaces with Constant Mean Curvature in Locally Symmetric Manifold;局部对称黎曼流形中具常平均曲率的完备超曲面3T8汉语字典

On the Curvature、Topology and M(?)bius Characterization of Riemannian Manifold;黎曼流形的曲率、拓扑与M（？）bius特性研究3T8汉语字典

Douglas Metrics with Some Non-Riemannian Curvature Properties具有某些非黎曼曲率性质的Douglas度量3T8汉语字典

The 2- harmonic Submanifold in Quasi- constant Curvature Riemann Manifold拟常曲率黎曼流形中的2-调和子流形3T8汉语字典

The Parallelism of the Rays in a Complete Riemannian Manifold with Nonnegative Curvature非负曲率的完备黎曼流形上的平行射线3T8汉语字典

Curvature Estimates for Symmetric Spaces with Applications;不可约黎曼对称空间的曲率估计及其应用3T8汉语字典

(α,β)-Metrics of Certain Important Non-Riemann Curvature Properties;具有某些重要非黎曼曲率性质的（α，β）-度量3T8汉语字典

On the Space-Like Submanifolds with Constant Mean Curvature in a Pseudo-Riemannian Space Form;伪黎曼空间型中具有常平均曲率的类空子流形3T8汉语字典

On 2-Harmonic Submanifolds of a Riemann Manifold;黎曼流形上具有平行平均曲率的2-调和子流形3T8汉语字典

The compact pseudo-umbilical submanifold with parallel mean curvature vector in the Riemannian manifold with constant curvature常曲率黎曼流形中具有平行中曲率向量的紧致伪脐子流形3T8汉语字典

On submanifolds with parallel mean curvature in a locally symmetric quasi-constant curvature Riemannian manifold局部对称拟常曲率黎曼流形中具有平行平均曲率向量的子流形3T8汉语字典