Statistical immersions between statistical manifolds of constant   curvature
  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 $(M, \nabla^{(\alpha)}, g ), \forall\alpha\in\mathbf{R}$ to admit the structure of a constant curvature. 
Chol Rim Min, Song Ok Choe, Yun Ho An
math.DG