@article{article_343519, title={DERIVATIVES WITH RESPECT TO HORIZONTAL AND VERTICAL LIFTS OF THE CHEEGER-GROMOLL METRIC $^{CG}g$ ON THE $(1,1)-$TENSOR BUNDLE $T_{1}^{1}(M)$}, journal={Konuralp Journal of Mathematics}, volume={5}, pages={78–86}, year={2017}, author={Çayır, HAŞİM and Khan, MOHAMMAD NAZRUL ISLAM}, keywords={(1 1)-tensor bundle,Covarient Derivative,Lie Derivative,Cheeger-Gromoll metric,Horizontal Lift,Vertical Lift}, abstract={<p> <font face="Times New Roman, Times, serif" size="3">In this paper, we define the Cheeger-Gromoll metric in the $(1,1)$ $-$tensor bundle $T_{1}^{1}(M)$, which is completely determined by its action on vector fields of type $X^{H}$ and $\omega ^{V}$. Later, we obtain the covarient and Lie derivatives applied to the Cheeger-Gromoll metric with respect to the horizontal and vertical lifts of vector and kovector fields, respectively. </font> <br> </p>}, number={2}, publisher={Mehmet Zeki SARIKAYA}