مسیب زهره وند

Let (Mn, g) be a Riemannian manifold and TMn its tangent bundle. In this paper, we determine the fiber-preserving paraholomorphically projective vector fields on TMn with respect to the Levi-Civita connection the deformed complete lift metric ˜Gf = 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 TMn, respectively.