f-biharmonic normal section curves

This thesis consist of three chapters. In the first chapter, we give material and methods that will be useful for other chapters are given e.g. normal section curve, biharmonic map, frenet equations, tension fields, energy integral. In the second chapter, we give sufficient and necessary conditions for having a planar normal section of submanifolds of a Riemannian manifold. Also, we make classification of surfaces with planar normal section. Furthermore, in this chapters, submanifolds with planar normal sections is investigated with the help of curvatures of normal section curve. In the third chapter, we give f-biharmonic curves under title findings and discussions. It is investigated sufficient conditions for which be f- biharmonic of a curve.