Almost cosymplectic statistical manifolds

2018/01/30 by Aziz Yazla, Yazla, Aziz, İrem Küpeli Erken +3
Mathematics · Physics and Astronomy · #53B30 #53C15 #53C25 (Primary) 53D10 (Secondary) #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1801.09890

openalex publication_date 2018/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Almost α-Cosymplectic (κ,μ,ν)-Spaces

Related

• ϕ-Sectional curvature of statistical structures on almost contact metric manifolds
• From Dual Connections to Almost Contact Structures
• Extremities for statistical submanifolds in Kenmotsu statistical\n manifolds
• Locally Product-like Statistical Manifolds and Their Hypersurfaces
• Hopf-type hypersurfaces on Hermite-like manifolds