\phi-Sectional curvature of statistical structures on almost contact metric manifolds
Differential Geometry
2025-07-02 v1
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.
Keywords
Cite
@article{arxiv.2507.00811,
title = {\phi-Sectional curvature of statistical structures on almost contact metric manifolds},
author = {Abbas Heydari and Sadegh Mohammadi},
journal= {arXiv preprint arXiv:2507.00811},
year = {2025}
}
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13 pages