IFPHP transformations on the tangent bundle with the deformed complete lift metric

Let (mn,g) be a riemannian manifold and tm its tangent bundle. in this paper, we determine the infinitesimal fiber-preserving paraholomorphically projective (ifphp) transformations on tmwith respect to the levi-civita connection the deformed complete lift metric g=gc+(fg)v, where f is a nonzero differentiable function on mn and gc and gv are the complete lift and the vertical lift of g on tm, respectively. also, the infinitesimal complete lift, horizontal lift and vertical lift paraholomorphically projective transformations on (tm,gf) are studied.