Mohamed Ali Hammami, Hichem El Hendi, Mustapha Meghnafi
abstract:
The problem studied in this paper is related to the bienergy of a pull-back
vector field from a Riemannian manifold $(M,g)$ to its tangent bundle $TN$
equipped with the Sasaki metric $h^{s}$. We show that a pull-back vector field
on a compact manifold $(M,g)$ is biharmonic if and only if it is harmonic. We
also investigate the bienergy of a pull-back vector field, as a map from $(M,g)$
to $(TN,h^{s})$.
Mathematics Subject Classification: Primary 58E20; Secondary 53C20
Key words and phrases: Pull-back vector field, bienergy, Riemannian manifold