Let (Mn; g) be a Riemannian manifold and TMn its tangent bundle. In this paper, we determine the infinitesimal fiber-preserving holomorphically projective (IFHP) transformations on TMn with respect to the Levi-Civita connection of a class of psuedo-Riemannian metrics which is a generalization of the three classical lift metrics. Moreover, we prove that every IFHP transformation on (TMn; ~g) is reduced to an affine transformation and induced two infinitesimal affine transformations on (Mn; g).
