Preprint 101/2002

Regular Connections among Generalized Connections

Christian Fleischhack

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Submission date: 13. Nov. 2002
Pages: 15
published in: Journal of geometry and physics, 47 (2003) 4, p. 469-483 
DOI number (of the published article): 10.1016/S0393-0440(02)00232-2
MSC-Numbers: 81T13, 53C05
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The properties of the space formula23 of regular connections as a subset of the space formula25 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 formula23 is dense in formula25 or not. Moreover, it is proven that formula23 has Ashtekar-Lewandowski measure zero for every nontrivial structure group and every smoothness category. The analogous results hold for gauge orbits instead of connections.

18.10.2019, 02:11