Dept. Math, Hokkaido Univ. EPrints Server

Hypersurfaces in Statistical Manifolds

Preprint Series # 852
Furuhata, Hitoshi Hypersurfaces in Statistical Manifolds. (2007);

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Abstract

The condition for the curvature of a statistical manifold to admit a kind of standard hypersurface is given as a first step of the statistical submanifold theory. A complex version of the notion of statistical structures is also introduced.

Item Type:Preprint
Additional Information:30
Uncontrolled Keywords:Hessian structure, holomorphic statistical structure, statistical submanifold, horosphere
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1703