Classification of Couplings for Transitive Lie Algebroidsстатья
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Аннотация:In this paper we study the couplings between tan
gent bundle and finite dimensional Lie algebra bun
dles introduced by Mackenzie (Definition 7.2.2)
for construction of transitive Lie algebroids.
It was shown, that the family of couplings between
tangent bundle and finite dimensional Lie algebra
bundles has one to one correspondence with the
family of locally trivial bundles with structural group
of all automorphisms of the Lie algebra whose
topology is taken more fine than classical topology.