Résumé:
In this thesis, we study a new class of natural metrics denoted by f
g and called the
vertical rescaled metric on the cotangent bundle. We calculate its Levi-Civita connection and
Riemannian curvature tensor. Also we present some new properties for bi-f-harmonic map
between generalized warped product manifolds, for example we calcul the bi-f-harmonicity
of the inclusion maps, the bi-f-harmonicity of the projection maps, and bi-f-harmonicity of
the prduct maps with harmonic factor.
