Horizontal lifts of projectable linear connection to semi-tangent bundle

Year 2021, Volume: 50 Issue: 6, 1709 - 1721, 14.12.2021

Furkan Yıldırım

https://doi.org/10.15672/hujms.894782

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

Supporting Institution

Tübitak

Project Number

(TBAG-3001, MFAG-118F176).

Thanks

The author is supported by the Scientific and Technological Research Council of Turkey (TBAG-3001, MFAG-118F176).

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