Almost complex norden manifolds obtained by multiplying almost contact B-metri̇k manifolds with R

In this study, almost contact B-metric manifolds and almost complex Norden metric manifolds are discussed. In the first part of this thesis consisting of five parts, necessary basic definitions and theorems are expressed. In the second part, it is given definition and characteristics of almost contact B-metric manifolds. In the third part, the most basic examples of almost contact B-metric manifolds are investigated. In the fourth part, almost complex Norden metric manifold definition was made and its classification was mentioned. In the fifth and last part, an almost contact B-metric manifold M is multiplied by R and an almost complex Norden metric structure on M × R is constructed using two functions from M × R to R which depend on t. Moreover, it is proved that the necessary and sufficient condition for the structure on M ×R to be a Kaehlerian Norden metric is that θ(ξ) is a scalar of the class F4 of the manifold M and the sum of the two functions is constant. Finally, it is shown that M × R is of class W1 ⊕ W2 when the manifold M is of class F5 and the sum of the two functions is constant.