Almost cosymplectic statistical manifolds

TL;DR

This paper explores the properties and curvature of almost cosymplectic statistical manifolds, providing characterization theorems, examples, and insights into their geometric structure.

Contribution

It introduces new results on the properties, curvature, and characterization of almost cosymplectic statistical manifolds, including conditions with Kähler leaves.

Findings

Basic properties of almost cosymplectic statistical manifolds established

A characterization theorem proved for these manifolds

Examples illustrating the concepts are constructed

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. It is proved a characterization theorem and a corollary for the almost cosymplectic statistical manifold with Kaehler leaves. We also study curvature properties of an almost cosymplectic statistical manifold. Moreover, examples are constructed.