چكيده لاتين :
Let M be an n-dimensional Riemannian manifold and TM its tangent bundle. The
conformal and fiber preserving vector fields on TM have well-known physical interpretations and have
been studied by physicists and geometricians. Here we define a Riemannian or pseudo-Riemannian lift
metric 9 on TM , which is in some senses more general than other lift metrics previously defined on
TM , and seems to complete these works. Next we study the lift conformal vector fields on (TM,g) and
prove among the others that, every complete lift conformal vector field on TM is homothetic, and
moreover, every horizontal or vertical lift conformal vector field on TM is a Killing vector.