ϕ-Sectional curvature of statistical structures on almost contact metric manifolds

Abstract

In this article, we study and analyze the ϕ-sectional curvature induced by a statistical structure on an almost contact metric manifold. We demonstrate that this sectional curvature is always non-positive. Additionally, we present equivalent statements regarding the vanishing of this type of sectional curvature. Furthermore, we derive a sufficient condition for an almost contact statistical manifold to be classified as a cosymplectic statistical manifold.

13 pages