Horizontal lifts of projectable linear connection to semi-tangent bundle

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:6
Horizontal lifts of projectable linear connection to semi-tangent bundle

Horizontal lifts of projectable linear connection to semi-tangent bundle

Pages : 1709-1721

View : 24 | Download : 9

Publication Date : 2021-12-14

Article Type : Research Paper

Abstract :The main aim of this article is to study the horizontal lifts of projectable linear connection in the semi-tangent bundle tM. The properties of complete and horizontal lifts of projectable linear connection for semi-tangent bundle tM are also investigated. Finally, we examine the infinitesimal linear transformation in the semi-tangent bundle with respect to the horizontal lift of a projectable linear connection.
Keywords : Horizontal lift, Projectable linear connection, Pullback bundle, Semi tangent bundle, Vector field

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