Title of article :
Some notes on the gh-lifts of affine connections
Author/Authors :
Akpınar, Rabia Cakan Kafkas University - Faculty of Arts and Sciences - Department of Mathemetics, Kars, Turkey
Abstract :
Let M be a differentiable manifold with dimension n and T
∗M be its cotangent bundle. In this paper, we determine the gh − lif t of the affine connection via the musical isomorphism on the cotangent bundle T∗M. We obtain the torsion tensor, curvature tensor and geodesic curve of the gh − lif t of LeviCivita connection
Keywords :
Horizontal lift , connection , curvature tensor , musical isomorphism , geodesic
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
