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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.00811 |
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| _version_ | 1866908429456506880 |
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| author | Heydari, Abbas Mohammadi, Sadegh |
| author_facet | Heydari, Abbas Mohammadi, Sadegh |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00811 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ϕ-Sectional curvature of statistical structures on almost contact metric manifolds Heydari, Abbas Mohammadi, Sadegh Differential Geometry 53B12, 53D15 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. |
| title | ϕ-Sectional curvature of statistical structures on almost contact metric manifolds |
| topic | Differential Geometry 53B12, 53D15 |
| url | https://arxiv.org/abs/2507.00811 |