李三系最初源于对称空间及全测地子流形的研究。
Lie triple systems were introduced in connection with the symmetric space and the totally geodesic submanifold.
本文在特定条件下，讨论了两个嵌套空间中的子流形。
In this paper, the Submanifolds in two Nested Spaces are discussed.
研究量子统计中曲指数族子流形的不同度量的对偶结构。
Quantum version of the curved exponential family is studied where its dual structure with different metrics.
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
利用活动标架法研究共形几何中的子流形，构造新的极值子流形。
We use the method of moving frame to study submanifolds in conformal differential geometry, and construct new minimal submanifolds.
利用不变形式的方法对复流形上的CR—子流形进行了一定的研究。
In this paper we study CR - submanifolds of a complex manifold using the method of the invariant form.
子流形高斯像的几何与拓扑是整体微分几何领域的重要研究课题之一。
It plays an important role in global differential geometry to study the geometric and topological properties of Gaussian image of submanifolds.
本文研究拟复空型子流形的特征，推广了一些原先在复空型中成立结果。
This paper is to study the properties of quasi complex space form, to Which some results already established for the complex space form are applied.
研究了拟常曲率流形中具有平行平均曲率向量的子流形，给出了两个积分不等式。
We study the submanifolds with parallel mean curvature vector in a manifold of quasi constant curvature, and give two integrate inequalities.
本文讨论黎曼流形里一般余维的常数平均曲率的子流形为全脐子流形的充要条件。
In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold.
然后，我们将看到微分同胚群作用下的辛商为特殊子流形模空间上的以环面为结构群的丛。
And then we will see that in the framework of diffeomorphism group the symplectic quotient is torus bundle over the moduli space of special submanifold.
刚性理论是子流形几何中久盛不衰的重要方向，其根源可追溯到经典曲面论的高斯绝妙定理。
Rigidity theory is one ever-flourishing subject in geometry of submanifolds, which can be traced back to Gauss' Theorema Egregium in the classical theory of surfaces.
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。
As an algebraic system, Lie triple systems arise upon consideration of certain sub-spaces of Riemannian manifolds, the totally geodesic submanifolds.
通过计算全测地子流形的基本群，确定了紧正规黎曼对称空间的极大的极大秩全测地子流形的整体分类。
In this paper, the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal Riemannian symmetric Spaces by computing the fundamental group.
该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形，证明了这类子流形的某些内蕴刚性定理。
In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.
结合李群李代数方法，系统地研究了多特征的位形空间理论，给出了定向公差约束子流形的局部参数显式表达。
A systematic introduction to the theory of configuration space of multi-features is given, appealing to Lie groups and algebras.
讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形。
The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.
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。
Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2.
讨论了有限维和无限维复J-辛空间上的拓扑，并证明了复J-辛空间的每一个完全J-Lagrangian子流形都是闭集。
We discuss topologies for complex J-symplectic spaces and prove that each complete J-Lagrangian submanifold of the complex J-symplectic spaces a closed set.
利用数量曲率与第二基本形式长度之间的一个不等式关系，证明了其子流形的截面曲率一定非负(或者为正)，并将此应用到紧致子流形上，得到一些结果。
By using an inequality relation between a scalar curvature and the length of the second fundamental form, it is proved that sectional curvatures of a submanifold must be nonnegative (or positive).
Moebius第二基本形式是单位球面上子流形的重要的Moebius不变量，本文给出了S3中具有半平行Moebius第二基本形式的曲面的分类。
Moebius second fundamental form is important Moebills invariable on the unit sphere of submanifolds, in this paper, we classify the surface in s ~ 3 with semi-parallel Moebius second fundamental form.
本文讨论了Sasakian空间形式中具有平行平均曲率向量的C-全实子流形，得到了一个Simons型公式并且改进了S.Yamaguchi等的一个结果。
We have discussed the C-totally real submanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.
一个流形部件的形状可以改变通过右击并使用“编辑流形”子菜单。
The shape of a Flow shape widget can be changed by right clicking and using the "Edit Flow shape" submenu.
本文提出了用流形无法和子域奇异边界元法相结合模拟结构地震响应及地震破坏的方法。
In this paper, a method based on the combination of Manifold and Singular Boundary Element method to simulate seismic responses and failure processes of structures is presented.
提出了子阵级MUSIC的数学模型并应用了简化的阵列流形。
The mathematics model of MUSIC at subarray level was proposed and simplified array manifolds were adopted.
提出了子阵级MUSIC的数学模型并应用了简化的阵列流形。
The mathematics model of MUSIC at subarray level was proposed and simplified array manifolds were adopted.
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