Advanced Studies: Euro-Tbilisi Mathematical Journal

Special linear connections on the cotangent bundle with respect to the Cheeger-Gromoll metric

F. Ocak

Let (M,g) be an n-dimensional differentiable Riemannian manifold and T^*M be its cotangent bundle equipped with the Cheeger-Gromoll metric ^CGg. In this article, we investigate some applications of special linear connections, such as the Schouten-Van Kampen and Vranceanu connections associated with the Levi-Civita connection of the Cheeger-Gromoll metric ^CGg on T^*M.


Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 173-184