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Author Country (or Countries)

Romˆania

Abstract

In this paper we give local characterisations for basic connections adapted to vertical foliation and subfoliations on the big-tangent manifold T M of a Riemannian space (M,g). Using some associated Vr˘anceanu connections we identify a triple of basic connections adapted to vertical subfoliations. Finally, we give an application of these connections in study of Lagrangians on the big-tangent manifold and also, we write in a simple form the equation of motion for scalar fields on the big-tangent manifold.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100605

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