Horizontal lifts of projectable linear connection to semi-tangent bundle

Yıl 2021, Cilt: 50 Sayı: 6, 1709 - 1721, 14.12.2021

Furkan Yıldırım

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

Öz

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.

Anahtar Kelimeler

Horizontal lift, Projectable linear connection, Pullback bundle, Semi-tangent bundle, Vector field

Destekleyen Kurum

Tübitak

Proje Numarası

(TBAG-3001, MFAG-118F176).

Teşekkür

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

Kaynakça

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