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Singularities of invariant connections

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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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 10:00
Last Modified:06 Feb 2014 10:07

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