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arXiv · 2507.00811

\phi-Sectional curvature of statistical structures on almost contact metric manifolds

Abbas Heydari·Sadegh Mohammadi
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Abstract

In this article, we study and analyze the \phi-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.

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Abbas Heydari, Sadegh Mohammadi. 2025-07-01. \phi-Sectional curvature of statistical structures on almost contact metric manifolds. https://arxiv.org/abs/2507.00811

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