alexa On Lie algebras associated with a connection.


Journal of Generalized Lie Theory and Applications

Author(s): Princy Randriambololondrantoma, Hanitriniaina Sammy Grgoire , M Anona

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Let l' be a connection on a smoothmanifoldM. In this paper we give some properties of l' by studying the corresponding Lie algebras. In particular, we compute the ûrst Chevalley-Eilenberg cohomology space of the horizontal vector ûelds Lie algebra on the tangent bundle of M, whose the corresponding Lie derivative of l' is null, and of the horizontal nullity curvature space.

This article was published in Research Gate and referenced in Journal of Generalized Lie Theory and Applications

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