Statistical immersions between statistical manifolds of constant curvature

Chol Rim Min; Song Ok Choe; Yun Ho An

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arXiv · 1406.7598

Statistical immersions between statistical manifolds of constant curvature

Chol Rim Min·Song Ok Choe·Yun Ho An

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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 $(M, \nabla, g )$, which enable $(M, \nabla^{(α)}, g ), \forallα\in\mathbf{R}$ to admit the structure of a constant curvature.

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Chol Rim Min, Song Ok Choe, Yun Ho An. 2014-06-30. Statistical immersions between statistical manifolds of constant curvature. https://arxiv.org/abs/1406.7598

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