Statistical immersions between statistical manifolds of constant curvature
Abstract
The condition for the curvature of a statistical manifold to admit a kind of standard hypersurface is given. We study the statistical hypersurfces of some types of the statistical manifolds (M, ∇, g ), which enable (M, ∇(α), g ), ∀α∈R to admit the structure of a constant curvature.
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