Amores Lázaro, Ángel Miguel and Gutiérrez, M (1992) Singularities of invariant connections. General relativity and gravitation, 24 (12). pp. 1235-1253. ISSN 0001-7701
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Official URL: http://agt.cie.uma.es/~mgl/Investigacion/1992GenerRelatAndGravit/1992GRG.pdf
Abstract
A reductive homogeneous space M = P/G is considered, endowed with an invariant connection, i.e., such that all left translations of M induced by members of P preserve it. We study the set of singularities of such connections giving sufficient conditions for it to be empty, or, in other cases, families of b-incomplete curves converging to singularities. A full description of the b-completion of a connection with M = R(m) (or a quotient of it) is given with information on its topology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Astronomy & Astrophysics; Physics, Multidisciplinary; Physics, Particles & Fields |
| Subjects: | Sciences > Mathematics > Astronomy |
| ID Code: | 14715 |
| Deposited On: | 17 Apr 2012 12:00 |
| Last Modified: | 17 Apr 2012 12:00 |
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