Hypersurfaces in Statistical Manifolds
Preprint Series # 852
Furuhata, Hitoshi Hypersurfaces in Statistical Manifolds. (2007);
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.
|Uncontrolled Keywords:||Hessian structure, holomorphic statistical structure,
statistical submanifold, horosphere|
|Subjects:||53-xx DIFFERENTIAL GEOMETRY|