E. Loubeau and S. Montaldo.


Titre: "Biminimal immersions in space forms."


Abstract : We study biminimal immersions, that is immersions which are critical points of the bienergy for normal variations. We give a description of the Euler-Lagrange equation associated to biminimal immersions for: i) biminimal curves in a Riemannian manifold, with particular care to the case of curves in a space form ii) isometric immersions of codimension $1$ in a Riemannian manifold, in particular for surfaces of a three dimensional space form. We describe two methods to construct biminimal surfaces in a space form using both Riemannian and horizontally homothetic submersions.