Covariant derivatives of prolongations on the semi-tangent bundle

F. Yildirim, K. Akbulut, K. Atasever

In this article, we study covariant derivatives of polynomial structures for semi-tangent bundles with respect to the projectable vector field's complete and horizontal lifts. The aim of this work is to analyze tensor structures in the semi-tangent bundle by examining the lifts of some projectable symmetric linear connections that were not previously calculated. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 17(3) (2024), pp. 17-31