Dirac-Lu Space with Pseudo-Riemannian Metric of Constant Curvature  

作　　者：Xin An REN Li CHEN Gui Dong WANG 

机构地区：[1]Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China [2]College of Science, Shandong University of Technology, Zibo 255091, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第9期1743-1752,共10页数学学报（英文版）

摘　　要：In this paper, we will discuss the geometries of the Dirac-Lu space whose boundary is the third conformal space Af defined by Dirac and Lu. We firstly give the S0（3, 3） invariant pseudo- Riemannian metric with constant curvature on this space, and then discuss the timelike geodesics. Finally we get a solution of the Yang-Mills equation on it by using the reduction theorem of connections.In this paper, we will discuss the geometries of the Dirac-Lu space whose boundary is the third conformal space Af defined by Dirac and Lu. We firstly give the S0（3, 3） invariant pseudo- Riemannian metric with constant curvature on this space, and then discuss the timelike geodesics. Finally we get a solution of the Yang-Mills equation on it by using the reduction theorem of connections.

关 键 词：Dirac-Lu space invariant metric Yang-Mills equation 

分 类 号：O186.12[理学—数学] O4-09[理学—基础数学]