In this paper, we extend Sasaki metric for tangent bundle of a Riemannian
manifold and Sasaki-Mok metric for the frame bundle of a Riemannian
manifold [I] to the case of a semi-Riemannian vector bundle over a semi-
Riemannian manifold. In fact, if E is a semi-Riemannian vector bundle over a
semi-Riemannian manifold M, then by using an arbitrary (linear) connection on
E, we can make E, as a...