Principal bundles over statistical manifolds
Differential Geometry
2014-04-29 v2 Other Statistics
Abstract
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 -structure of frame bundles over statistical manifolds with respect to -connections, by giving geometric structures. The manifold of one-dimensional normal distributions appears in the end as an application and a concrete example.
Keywords
Cite
@article{arxiv.1403.4471,
title = {Principal bundles over statistical manifolds},
author = {Didong Li and Huafei Sun and Chen Tao and Lin Jiu},
journal= {arXiv preprint arXiv:1403.4471},
year = {2014}
}