Horizontal lifts of projectable linear connection to semi-tangent bundle

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

References

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