3 papers
math.DG2025
The Second Variational Formula for Statistical Biharmonic Maps
Ryu Ueno
Recently, the statistical bi-energy functional and its first variational formula were introduced by the author and H. Furuhata. The Maps satisfying the corresponding Euler-Lagrange…
math.DG2025
Geodesic Connectedness on Statistical Manifolds with Divisible Cubic Forms
Ryu Ueno
The class of statistical manifolds with divisible cubic forms arises from affine differential geometry. We examine the geodesic connectedness of affine connections on this class of…
math.DG2024
Statistical Biharmonicity of Identity Maps
Ryu Ueno
The tension field of the identity map from a statistical manifold to a Riemannian statistical manifold, which shares the same Riemannian metric, is the Tchevychev vector field mult…