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- 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。
- We first prove the theorem on equivariant embedding of symmetric spaces in Lie groups. 首先，我们证明对称空间到李群的等变嵌入定理。
- The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). 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。
- This paper discusses submanifolds with parallel mean curvature vector in local symmetric spaces and obtains integral invariants about the square of modulus-length. 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.
- Applying a property of orbit structures of twisted conjugate actions to involutions, we then get the aforementioned equivariant embedding of symmetric spaces in Lie groups. 利用本文中证明的李群扭共轭作用的轨道性质，将扭共轭作用中的自同构取为对合自同构，我们就得到了如上所述的对称空间在李群中的等变嵌入。
- Any symmetric space corresponds to a Lie group and an involution of it.The associated twisted conjugate action is related to the involution. 每个对称空间对应着一个李群及这个李群的一个对合自同构，相应的扭共轭作用与这个对合自同构有关。
- 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. 摘要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。
- Generalizing a single involutive automorphism to a finite Abelian group of automorphisms of G, we obtain a homogeneous space called generalized symmetric space and some of its properties. 本文把李群的单个对合自同构推广为由李群 G 的一些自同构组成的有限可换群,从而决定了一个广义对称空间,并讨论了它的某些性质。
- Locally and Globally Symmetric Spaces 局部的和整体的对称空间
- Sectional Curvature of Symmetric Spaces 对称空间的截面曲率
- Keywords symmetric spaces;curvature estimates;partial positivity; 对称空间;曲率估计;部分正性;
- Tell that joker to stop using my parking space. 叫那个家伙不要占用我的停车场。
- On 2-Harmonic Submaniflods of a Locally Symmetric Space 关于局部对称空间中2-调和子流形
- There is plenty of space here to move about. 这里有很大的活动空间。
- The Closed Geodesics in a Compact Local Symmetric Space 局部对称空间上的闭测地线
- We're a bit cramped for space in this attic. 在这间阁楼里我们有点活动不开。
- There isn't much space left for your luggage. 剩下的地方不太够你放行李的。
- It's easier for small car to find a parking space. 小型汽车比较容易找到停车空地。
- On the pseudo-umbilical submanifoids of a locally symmetric space 局部对称空间中的伪脐子流形
- Many blank spaces are still left in the suburbs. 郊区仍留有许多空地。
