arxiv: 1403.4471 · v2 · pith:W5ESWGZCnew · submitted 2014-03-18 · 🧮 math.DG · stat.OT

Principal bundles over statistical manifolds

Didong Li , Huafei Sun , Chen Tao , Lin Jiu This is my paper

classification 🧮 math.DG stat.OT

keywords bundlesmanifoldsprincipalstatisticalalphaappearsapplicationconcept

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In this paper, we introduce the concept of principal bundles on statistical manifolds. After necessary preliminaries on information geometry and principal bundles on manifolds, we study the $\alpha$-structure of frame bundles over statistical manifolds with respect to $\alpha$-connections, by giving geometric structures. The manifold of one-dimensional normal distributions appears in the end as an application and a concrete example.

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Principal bundles over statistical manifolds

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