Some curvature properties in kenmotsu finsler manifolds

In this thesis, curvatures of Kenmotsu Finsler manifolds are analyzed. In the introduction section, the historical reminds on Kenmotsu manifolds and Finsler space are presented. In the conceptual framework, the basic consepts which are necessary for this study are introduced. Besides, Kenmotsu Finsler structures on vector bundles are handled. Then, Weyl projective M-, projective, conformal and quasi-conformal curvatures of Kenmotsu Finsler manifolds are defined and their some curvature properties are examined. In this regard, Weyl projectively and M-projectively flat, ξ-M-projectively flat, locally φ-M-projectively symmetric, M-projectively semi-symmetric, φ-M-projectively flat, quasi-M-projectively flat and satisfying the condition W(X^H,Y^H ).M=0 Kenmotsu Finsler manifolds are studied. Additionally, Kenmotsu Finsler structures satisfying the relations, C(X^H,Y^H ).M=0, W(ξ^H,Y^H ).K ̃=0 and C(ξ^H,Y^H ).K ̃=0 are examined. In the last section, the obtained results are evaluated.