Biharmonic submanifolds of generalized complex space forms

Julien Roth (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We investigate biharmonic submanifolds in generalized complex space forms. We first give the necessary and suifficent condition for submanifolds to be biharmonic in these spaces. Then, we obtain curvature estimates for proper-biharmonic hypersurfaces and Lagrangian surfaces in these spaces

Mots clés: generalized complex space forms; hypersurfaces; Biharmonic submanifolds; Lagrangian surfaces

Domaines: Géométrie différentielle [math.DG]

Julien Roth. Biharmonic submanifolds of generalized complex space forms. 2015. ⟨hal-00843201v2⟩