A Variation Problem for Mappings between Statistical Manifolds

A Variation Problem for Mappings between Statistical Manifolds

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.

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Veröffentlicht in:arXiv.org 2023-12
Hauptverfasser: Furuhata, Hitoshi, Ueno, Ryu
Format: Artikel
Sprache:eng
Schlagworte:
Euler-Lagrange equation
Hyperspheres
Manifolds
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Zusammenfassung: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.
ISSN:2331-8422