Almost quadratic ø-structure

The aim of this thesis is to give the results about the almost quadratic Ø-manifold examples and properties of these manifolds. This thesis consists five chapters. First chapter is introduction. Second chapter consists of some basic definitions which will be use in the other chapters. In the third chapter, the concept of gold number and differentiable manifolds endowed with metallic structures are introduced. In addition, warped product manifolds are defined and their properties are given. Finally, almost quadratic Ø-structures are introduced. In the fourth chapter, almost quadratic metric Ø-structure is introduced and it is shown that there is a quadratic metric Ø-structure on warped product manifold M̃. However, it has been proved that every differentiable manifold M endowed with an almost quadratic Ø-structure admits associated Riemannian metric. In addition, the quadratic Ø-hypersurfaces of the local metallic Riemannian manifold have been studied and related studies have been made. Finally, the fifth chapter is the conclusion section.