Affine Differential Geometric Control Tools for Statistical Manifolds
نویسندگان
چکیده
The paper generalizes and extends the notions of dual connections statistical manifold, with without torsion. Links deformation algebras Riemannian Rinehart are established. semi-Riemannian manifolds admitting flat torsion characterized, thus solving a problem suggested in 2000 by S. Amari H. Nagaoka. New examples constructed, within beyond classical setting. invariant structures on Lie groups characterized dimension their set is determined. Examples for new defined geometrical objects found theory Information Geometry.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9141654