Regular Connections among Generalized Connections
Contact the author: Please use for correspondence this email.
Submission date: 13. Nov. 2002
published in: Journal of geometry and physics, 47 (2003) 4, p. 469-483
MSC-Numbers: 81T13, 53C05
Download full preprint: PDF (239 kB), PS ziped (223 kB)
The properties of the space of regular connections as a subset of the space of generalized connections in the Ashtekar framework are studied. For every choice of compact structure group and smoothness category for the paths it is determined whether is dense in or not. Moreover, it is proven that has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoothness category. The analogous results hold for gauge orbits instead of connections.