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isotropie submanifold 迷向子流形
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。
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。
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.
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。
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.
In this paper , a rigidity theorem of hypersurface in real space form will begiven.In addition, we obtain rigidity theorems of submanifold in sphere which improvethe result of Hou and Xu. 本文给出实空间形式中超曲面的一个刚性定理，同时也得到求面中子流形的刚性结果.
In this paper, a rigidity theorem of hypersurface in real space form will be given.In addition, we obtain rigidity theorems of submanifold in sphere which improve the result of Hou and Xu. 摘要本文给出实空间形式中超曲面的一个刚性定理，同时也得到求面中子流形的刚性结果。
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。
Submanifold in Sphere and Complex Projective Space 球面、复射影空间中的子流形
Stability of Minimal Submanifold and Harmonic Maps 极小子流形与调和映射的稳定性
C- totally real pseudo- umbilical submanifold C-全实伪脐子流形
Lagrangian H-umbilical submanifold 拉格朗日H-脐子流形
The Pseudo-umbilical Submanifold of Constant Curvature Space 常曲率空间中的伪脐子流形
Semi-invariant Submanifold in a Nearly Sasakian Manifold 流形的半不变子流形
The First-Kind Submanifold of Infinite Differentiable Function 一类无穷次可微函数的子流形
A Compact Submanifold of the Constant Curvature Space 常曲率空间中的紧致子流形
The Pinching Phenomenon of Submanifold in Euclidean Space 欧氏空间中子流形的Pinching现象
The Totally Umbilical Submanifold in a Space Form S~(n+p)(c) 空间形式S~(n+p)(c)中的全脐子流形