Almost cosympletic statistical manifolds

Abstract

This paper is a study of almost contact statistical manifolds. Especially this study is focused on almost cosymplectic statistical manifolds. We  obtained basic properties of such manifolds. A characterization theorem and a corollary for the almost cosymplectic statistical manifold with Kaehler leaves are proved. We also study curvature properties of an almost cosymplectic statistical manifold. Moreover, examples are constructed.

Key words: Almost contact manifold, statistical manifold, conjugate connection Kaehler statistical manifold, Sasakian statistical manifold, Kenmotsu statistical manifold.