Hypersurfaces in Statistical Manifolds

By Hitoshi Furuhata. 2009

127 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/9842d36598154fe2de200c09f7cc29dc851ca79f

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1. M. Aydın
2. Ion Mihai
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Citations in the corpus

• Some inequalities on submanifolds in statistical manifolds of constant curvature (2015, background): “Furuhata [6] and he introduced a complex version of the notion of statistical structures as well.”