f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms

Abstract

Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (k, µ)-space-form to be f-biharmonic and bi-f-harmonic submanifold. We have also studied f-biharmonic hypersurfaces of said ambient space forms.

Keywords

• generalized (k,µ)-space-forms
• f-biharmonic submanifold
• bi-f-biharmonic submanifold
• f-biharmonic hypersurface
• primary 53c42
• 53c43