A study on statistical submanifolds of a statistical kenmotsu manifold

This study, prepared as a master's thesis, consists of five parts. The first part is prepared as an introductory part. Briefly information about the development and history of the subject is presented. In the second part, all the basic definitions and concepts necessary for a better understanding of the thesis are given. Riemannian manifolds and alltmanifolds are also mentioned in this section. In the third chapter, the concept of statistical manifolds is thoroughly discussed and studied. The Chen-Ricci inequality for submanifolds, hypersurfaces, and statistical submanifolds of statistical manifolds has been studied. The fourth part consists of two parts. The first part is devoted to the introduction and study of almost contact manifolds, Kenmotsu manifolds, and almost all contact metric statistical manifolds. In the second part, the statistical submanifolds of the Kenmotsu statistical manifold, which is the purpose of the thesis, are studied, and the Chen-Ricci inequality in the statistical submanifolds of the Kenmotsu statistical manifold is also examined here. The fifth and final part consists of the concluding part.