Yumiko Ohno

activity

20202023

most citedOn a constant curvature statistical manifold

2 citations · 3 across the 5 of their papers we have counts for

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math.DG2023

Homogeneous Structures on $S^{2} \times R$ and $H^{2} \times R$

Yu Ohno

We determine all the homogeneous structure tensors on $S^{2} \times R$ and $H^{2} \times R$ . This work together with previous articles yields a complete…

math.DG2023★ 1 cited

A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions

Shimpei Kobayashi, Yu Ohno

We study a statistical manifold $(N, g^{F}, \nabla^{A}, \nabla^{A *})$ of multivariate normal distributions, where $g^{F}$ is the Fisher metric and $\nabla^{A}$ is the Amari-C…

math.DG2020★ 2 cited

On a constant curvature statistical manifold

Shimpei Kobayashi, Yu Ohno

We will show that a statistical manifold $(M, g, \nabla)$ has a constant curvature if and only if it is a projectively flat conjugate symmetric manifold, that is, the affine connec…

Homogeneous Structures on S2×R and H2×R

A characterization of the alpha-connections on the statistical manifold of multivariate normal distributions

On a constant curvature statistical manifold

Homogeneous Structures on $S^{2} \times R$ and $H^{2} \times R$