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- Title
Dirac-Lu space with pseudo-Riemannian metric of constant curvature.
- Authors
Ren, Xin; Chen, Li; Wang, Gui
- Abstract
In this paper, we will discuss the geometries of the Dirac-Lu space whose boundary is the third conformal space N defined by Dirac and Lu. We firstly give the SO(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.
- Subjects
YANG-Mills theory; INVARIANTS (Mathematics); CONFORMAL geometry; SPACES of constant curvature; GEODESICS; MATHEMATICAL analysis
- Publication
Acta Mathematica Sinica, 2011, Vol 27, Issue 9, p1743
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-011-8563-7