In this paper,a■-invariant Lorentz metric on the Dirac-Lu space is given,and then the geodesic equationis investigated.Finally,we discuss the field equations and find their solutions by the method of separating varia...In this paper,a■-invariant Lorentz metric on the Dirac-Lu space is given,and then the geodesic equationis investigated.Finally,we discuss the field equations and find their solutions by the method of separating variables.展开更多
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 const...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.展开更多
基金supported by National Key Basic Research Project of China under Grant Nos.2004CB31800 and 2006CB805905National Natural Science Foundation of China under Grant No.10731080 and CUMT
文摘In this paper,a■-invariant Lorentz metric on the Dirac-Lu space is given,and then the geodesic equationis investigated.Finally,we discuss the field equations and find their solutions by the method of separating variables.
文摘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.
