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- 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
- On the pseudo-umbilical submanifoids of a locally symmetric space 局部對稱(chēng)空間中的偽臍子流形
- 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.
- The Closed Geodesics in a Compact Local Symmetric Space 局部對稱(chēng)空間上的閉測地線(xiàn)
- Simons'Type Integral Formula of Pseudo-Umbilal Submanfolds in Locally Symmetric Space 局部對稱(chēng)空間的偽臍點(diǎn)子流形的內蘊剛性積分不等式
- Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector of a Locally Symmetric Space 局部對稱(chēng)空間中具有平行平均曲率的偽臍子流形
- Pseudo-Umbilical Submanifolds with Parallel Mean Curvature Vector in Locally Symmetric Space 局部對稱(chēng)空間中具有平行中曲率向量的偽臍子流形
- locally symmetric space 局部對稱(chēng)空間
- Submanifolds with Parallel Mean Curvature Vector in Local Symmetric Spaces 局部對稱(chēng)空間中具有平行平均曲率向量的子流形
- A rigid theorem about second fundamental form modula length square in the local symmetrical space 局部對稱(chēng)空間中關(guān)于第二基本形式模長(cháng)平方的一個(gè)剛性定理
- In this paper,the geometry of submanifolds with parally mean curvature vector in a locally symmetric, conformally falt Riemannian manifold is studied. 本文研究局部對稱(chēng)共形平坦黎曼流形中具有平行平均曲率向量的緊致子流形的性質(zhì)。
- This paper obtaines some pinching theorems of compactly minimal Submanifolds in a locally symmetric and conformal flat Riemannian manifold. 對局部對稱(chēng)共形平坦黎曼流形中具有平坦法叢的極小子流形作了一些討論,得到了極小子流形是全測地的兩個(gè)充分條件。
- The auther worked out a pinching theorem of compact pesudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds. 摘要研究局部對稱(chēng)共形平坦黎曼流形中具平行平均曲率向量的緊致偽臍子流形，得到了這類(lèi)子流形模長(cháng)平方的一個(gè)拼擠定理。
- 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)。
- CHEN Ying, DONG Ting.Maximal space-like submanifolds in locally symmetric pseudo-Riemannian spaces [ J].J of Zhejiang University (Science Edition) ,2003,30(2) :128-132. [2]陳穎;董婷.;局部對稱(chēng)的偽黎曼流形中的極大類(lèi)空子流形[J]
- ZHANG Jian-feng.On submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifold [J].J of Zhejiang University (Science Edition), 1999,26(4) :26-34. [9]張劍鋒.;局部對稱(chēng)共形平坦黎曼流形中具有平行平均曲率向量的子流形[J]
- 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。
