Derivatives with Respect to Lifts of the Riemannian Metric of the FormatfG˜ =Sgf +H g on TM Over a Riemannian Manifold (M, g). Punjab Univ. J. Math. 2025;51(1):1-8. Accessed June 29, 2025. https://pujm.pu.edu.pk/index.php/pujm/article/view/398