Statistical immersions between statistical manifolds of constant curvature

Chol Rim Min; Song Ok Choe; Yun Ho An

Statistical immersions between statistical manifolds of constant curvature

Differential Geometry 2014-07-01 v1

Authors: Chol Rim Min , Song Ok Choe , Yun Ho An

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 $(M, \nabla^{(\alpha)}, g ), \forall\alpha\in\mathbf{R}$ to admit the structure of a constant curvature.

Keywords

statistical immersion statistical manifold constant curvature statistical hypersurface dual connection alpha-connection

Cite

@article{arxiv.1406.7598,
  title  = {Statistical immersions between statistical manifolds of constant curvature},
  author = {Chol Rim Min and Song Ok Choe and Yun Ho An},
  journal= {arXiv preprint arXiv:1406.7598},
  year   = {2014}
}

Comments

10 pages

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