f-Biharmonic Integral Submanifolds in Generalized Sasakian Space Forms

Abstract

We study f-biharmonic integral submanifolds and integral C-parallel
submanifolds in generalized Sasakian space forms. As an application, we find the
f-biharmonicity conditions for the integral and integral C-parallel submanifolds in
Sasakian, lambda-Sasakian, Kenmotsu and cosymplectic space forms. Finally, we give also some examples of f-biharmonic integral submanifolds in Sasakian space forms.