A Variation Problem for Mappings between Statistical Manifolds
Differential Geometry
2026-04-14 v2
Abstract
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 this problem and prove that improper affine hyperspheres induce examples of such maps.
Cite
@article{arxiv.2312.01608,
title = {A Variation Problem for Mappings between Statistical Manifolds},
author = {Hitoshi Furuhata and Ryu Ueno},
journal= {arXiv preprint arXiv:2312.01608},
year = {2026}
}