A natural way to an almost complex B-metric structure

This work consists of five chapters. In the first chapter, introduction part has been presented. In the second chapter, basic structures defined over smooth manifolds are given and by using these structures Riemannian manifolds, almost complex manifolds, almost contact manifolds is mentioned. In the third chapter, almost contact B-metric manifolds have been studied and the classifications of the basic tensor of these manifolds are given. In the fourth chapter, almost complex B-metric manifolds and the classifications of these manifolds have been examined. In addition, the almost contact B-metric structure have been obtained from the almost complex B-metric structure and the classes in which these two structure are equivalent are given. Finally, in the fifth chapter, the almost complex B-metric structure are obtained from the almost contact B-metric structure is established and the connections between some classes of these structure are investigated. Key Words: Almost complex B-metric structure, Almost contact B-metric structure, Norden metric