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Almost product structures on statistical manifolds and para-K\"ahler-like statistical submersions by Vîlcu, Gabriel-Eduard is a scholarly article available to read on EtoBox.
What is Almost product structures on statistical manifolds and para-K\"ahler-like statistical submersions about?
The main purpose of the present work is to investigate statistical manifolds endowed with almost product structures. We prove that the statistical structure of a para-K\"{a}hler-like statistical manifold of constant curvature in the Kurose's sense is a Hessian structure. We also derive the main properties of statistical submersions which are compatible with almost product structures. The results are illustrated by several nontrivial examples.
- Author
- Vîlcu, Gabriel-Eduard
- Published
- 2019
- Language
- EN