A note on biharmonic submanifolds of product spaces
Résumé
We investigate biharmonic submanifolds of the product of two space forms. We prove a necessary and suifficent condition for biharmonic submanifolds in these product spaces. Then, we obtain mean curvature estimates for proper-biharmonic submanifold of a product of two unit spheres. We also prove a non-existence result in the case of the product of a sphere and a hyperbolic space.
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)
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