Statistical cosymplectic manifolds and their submanifolds

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Abstract:

    In ‎this ‎paper‎, we introduce statistical cosymplectic manifolds and investigate some properties of their tensors. We define invariant and anti-invariant submanifolds and study invariant submanifolds with normal and tangent structure vector fields. We prove that an invariant submanifold of a statistical cosymplectic manifold with tangent structure vector field is a cosymplectic and minimal-like submanifold. And if the structure vector filed be normal then that is a statistical Keahler-like manifold. Moreover, we construct a non-trivial example to illustrate some results of the paper.

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Journal title

volume 8  issue 2

pages  0- 0

publication date 2022-05

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