Fields and connections in a fiber bundle over spacetime arising from the reduction of the multidimensional linear connection

Details Fields and connections in a fiber bundle over spacetime arising from the reduction of the multidimensional linear connection Fields and connections in a fiber bundle over spacetime arising from the reduction of the multidimensional linear connection

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986lmaph..11..341n&link_type=abstract

Letters in Mathematical Physics, Volume 11, Issue 4, pp.341-350

Mathematics

Mathematical Physics

Scientific paper

We consider the invariant linear connections in a multidimensional universe where a compact connected Lie group G acts with a single orbit type G/H. It is shown that every such connection reduces to a principal connection in a dimensionally-reduced fiber bundle over the four-dimensional spacetime M and to a set of fields on M with a gauge group isomorphic to N/H × GL(4,R), where N is the normalizer in G of the closed subgroup H.

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