Statistical manifolds admitting torsion and geometry of affine distributions
- Hiroshi Matsuzoe (Nagoya Institute of Technology, Nagoya, Japan)
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.