Abstract
In this paper, we define the Riemannian metric of the format
fG˜ =S gf +H g on TM over (M, g) Riemannian manifold , which is
completely determined by vector fields β
H and θ
V
. Later, we obtain the
covarient and Lie derivatives applied to the Riemannian metric of the format fG˜ =S gf +H g with respect to the vertical XV
and horizontal lifts
XH of vector fields, respectively.
Has¸im C¸ AYIR. (2019) Derivatives with Respect to Lifts of the Riemannian Metric of the Format fG˜ =S gf +H g on TM Over a Riemannian Manifold (M, g)., Punjab University Journal of Mathematics, Volume 51, Issue 1.
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