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Hiroshi Matsuzoe  (Nagoya Institute of Technology, Japan)
Thursday, August 05, 2010, room Hörsaal 2
Statistical manifolds admitting torsion and geometry of affine distributions

A statistical manifold is a differential geometric structure that is induced naturally from geometry of probability distributions. A statistical manifold admitting torsion is a quantum version of the notion of statistical manifolds. In this talk, we discuss geometry of statistical manifolds admitting torsion. We also discuss relations between geometry of statistical manifolds admitting torsion and geometry of affine distributions.