f -BIHARMONIC 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 in both generalized complex and Sasakian space forms. We prove necessary and sufficient condition for f-biharmonicity 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 SUBMANIFOLDS OF GENERALIZED SPACE FORMS. Results in mathematics = Resultate der Mathematik, 2020, 75 (1), pp.article n˚20. ⟨hal-01459382v2⟩