A Variation Problem for Mappings between Statistical Manifolds
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908958242897920 |
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| author | Furuhata, Hitoshi Ueno, Ryu |
| author_facet | Furuhata, Hitoshi Ueno, Ryu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01608 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Variation Problem for Mappings between Statistical Manifolds Furuhata, Hitoshi Ueno, Ryu Differential Geometry 53B12 (Primary) 53A15, 58E20, 53C43 (Secondary) 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. |
| title | A Variation Problem for Mappings between Statistical Manifolds |
| topic | Differential Geometry 53B12 (Primary) 53A15, 58E20, 53C43 (Secondary) |
| url | https://arxiv.org/abs/2312.01608 |