A Variation Problem for Mappings between Statistical Manifolds

2023/12/04 by Furuhata, Hitoshi, Ueno, Ryu · 2 citations
#53B12 (Primary) 53A15 #53C43 (Secondary) #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.01608

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.

Cited by

• The Second Variational Formula for Statistical Biharmonic Maps
• The second variational formula of the variational problems for mappings between statistical manifolds

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