f-Biharmonic and bi-f-harmonic submanifolds of generalized space forms

Abstract

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.

28 pages, no figures. arXiv admin note: substantial text overlap with arXiv:1602.06131