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arxiv: 1801.09890 · v1 · pith:73OC76APnew · submitted 2018-01-30 · 🧮 math.DG

Almost cosymplectic statistical manifolds

classification 🧮 math.DG
keywords almoststatisticalcosymplecticmanifoldsmanifoldpropertiesbasiccharacterization
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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.

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