黎曼流形中运动群不变量  

Invariant of Group of Motions in Riemann Manifold

作　　者：朱庆国[1] 

机构地区：[1]盐城工学院基础部,盐城224003

出　　处：《南京航空航天大学学报》2003年第6期688-692,共5页Journal of Nanjing University of Aeronautics & Astronautics

摘　　要：黎曼流形运动群的研究是微分几何中一个重要问题。本文构造了黎曼流形中亏数为 2的一个运动群 ,进而对黎曼流形度规运动群、共形运动群以及亏数为 2的运动群的黎曼不变量进行了刻划。文中证明上述三个运动群之间存在着某种所谓“自相关性”。此外 。Research of the group of motions in Riemann manifold is an important question of the differential geometry. This paper stractures a group of motions about the defective number two in Riemann manifold. It portraies Riemann′s invariant in Riemann′s manifold about the group of motions of the gauge,conformal and defective number being two. The three groups of motions are proven to have the quality of self-correlation in them. This paper shows an interesting example that the conformal group of motions in Riemann space becomes the gauge group of motions in conformal space.

关 键 词：黎曼流形运动群 微分几何 不变量 共形运动群 亏数 

分 类 号：O186.12[理学—数学]