Some Characterizations of PS-Statistical Manifolds

Authors : Sema KAZAN

Pages : 116-131

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Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :In the present study, firstly we state symmetry properties for curvatures of a statistical manifold and give some relations between the Riemannian curvature b R and the curvatures R; R∗ and RS. After, by defining the notion of para-Sasakian statistical manifold, we give the necessary and sufficient conditions for a structure insert ignore into journalissuearticles values(D; h; Ψ; w; ζ); to be a para-Sasakian structure when insert ignore into journalissuearticles values(D; h); is a statistical structure and insert ignore into journalissuearticles values(Ψ; w; ζ; h); is an almost paracontact Riemannian manifold. Also, we give some results for curvatures R; R∗; RS and Ricci tensor of these curvatures on a para-Sasakian statistical manifold. We construct an example of para-Sasakian statistical manifold of dimension 3. Finally, we examined the Einsteinian of para-Sasakian statistical manifolds according to certain conditions.
Keywords : Para Sasakian Manifolds, Statistical Structures, Dual Connection, Projective Curvature Tensor