Singularities of invariant connections

Details Singularities of invariant connections Singularities of invariant connections

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24.1235a&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 12, pp.1235-1253

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Scientific paper

A reductive homogeneous spaceM=P/G is considered, endowed with an invariant connection, i.e., such that all left translations ofM induced by members ofP 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 withM=ℝ m (or a quotient of it) is given with information on its topology.

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