f -BIHARMONIC AND BI-f -HARMONIC SUBMANIFOLDS OF GENERALIZED SPACE FORMS

Julien Roth (1) , Abhitosh Upadhyay (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 Harish-Chandra Research Institute

We study f-biharmonic and bi-f-harmonic submanifolds in both generalized complex and Sasakian space forms. We prove necessary and sufficient condition for f-biharmonicity and bi-f-harmonicity in the general case and many particular cases. Some non-existence results are also obtained.

Domaines: Géométrie différentielle [math.DG]

Julien Roth, Abhitosh Upadhyay. f -BIHARMONIC AND BI-f -HARMONIC SUBMANIFOLDS OF GENERALIZED SPACE FORMS. 2017. ⟨hal-01459382v1⟩