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math.DG2023
A Variation Problem for Mappings between Statistical Manifolds
Hitoshi Furuhata, Ryu Ueno
We present statistical biharmonic maps, a new class of mappings between statistical manifolds naturally derived from a variation problem. We give the Euler-Lagrange equation of thi…
math.DG2020
A characterization of the alpha-connections on the statistical manifold of normal distributions
Hitoshi Furuhata, Jun-ichi Inoguchi, Shimpei Kobayashi
We show that the statistical manifold of normal distributions is homogeneous. In particular, it admits a -dimensional solvable Lie group structure. In addition, we give a geomet…