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arXiv · 1904.09411

Almost product structures on statistical manifolds and para-K\"ahler-like statistical submersions

Gabriel-Eduard Vîlcu
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Abstract

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.

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Gabriel-Eduard Vîlcu. 2019-04-20. Almost product structures on statistical manifolds and para-K\"ahler-like statistical submersions. https://arxiv.org/abs/1904.09411

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