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- Hermitian Symmetric Spaces of the Compact Type and the Noncompact Type 緊型和非緊型的厄米對稱(chēng)空間
- Any symmetric space corresponds to a Lie group and an involution of it.The associated twisted conjugate action is related to the involution. 每個(gè)對稱(chēng)空間對應著(zhù)一個(gè)李群及這個(gè)李群的一個(gè)對合自同構，相應的扭共軛作用與這個(gè)對合自同構有關(guān)。
- 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. 本文把李群的單個(gè)對合自同構推廣為由李群 G 的一些自同構組成的有限可換群,從而決定了一個(gè)廣義對稱(chēng)空間,并討論了它的某些性質(zhì)。
- The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. 然而課程還將簡(jiǎn)單介紹了基本的黎曼幾何和復流形的知識，并會(huì )詳細討論半單李群和對稱(chēng)空間的理論。
- We first prove the theorem on equivariant embedding of symmetric spaces in Lie groups. 首先，我們證明對稱(chēng)空間到李群的等變嵌入定理。
- The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001). 然而課程還將簡(jiǎn)單介紹了基本的黎曼幾何和復流形的知識，并會(huì )詳細討論半單李群和對稱(chēng)空間的理論。
- This paper discusses submanifolds with parallel mean curvature vector in local symmetric spaces and obtains integral invariants about the square of modulus-length. 討論局部對稱(chēng)空間中具有平行平均曲率向量的子流形;得到其關(guān)于第二基本形式模長(cháng)平方的積分不等式的相關(guān)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. 利用本文中證明的李群扭共軛作用的軌道性質(zhì)，將扭共軛作用中的自同構取為對合自同構，我們就得到了如上所述的對稱(chēng)空間在李群中的等變嵌入。
- On 2-Harmonic Submaniflods of a Locally Symmetric Space 關(guān)于局部對稱(chēng)空間中2-調和子流形
- The Closed Geodesics in a Compact Local Symmetric Space 局部對稱(chēng)空間上的閉測地線(xiàn)
- 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. 摘要通過(guò)計算全測地子流形的基本群，確定了緊正規黎曼對稱(chēng)空間的極大的極大秩全測地子流形的整體分類(lèi)。
- Tell that joker to stop using my parking space. 叫那個(gè)家伙不要占用我的停車(chē)場(chǎng)。
- On the pseudo-umbilical submanifoids of a locally symmetric space 局部對稱(chēng)空間中的偽臍子流形
- There is plenty of space here to move about. 這里有很大的活動(dòng)空間。
- We're a bit cramped for space in this attic. 在這間閣樓里我們有點(diǎn)活動(dòng)不開(kāi)。
- There isn't much space left for your luggage. 剩下的地方不太夠你放行李的。
- It's easier for small car to find a parking space. 小型汽車(chē)比較容易找到停車(chē)空地。
- The hotel has garage space for thirty cars. 這家飯店有停放30輛小汽車(chē)的車(chē)位。
- There isn't enough space for my address. 我寫(xiě)地址的地方不夠。
- Locally and Globally Symmetric Spaces 局部的和整體的對稱(chēng)空間
