A note on harmonic maps of statistical manifolds
No Thumbnail Available
Files
Date
2019-08-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi Fen Fakültesi
Abstract
We show an existence and uniqueness result for a class of maps from a flat statistical manifold into a Riemannian manifold in a given homotopy class when the target Riemannian manifold is of negative sectional curvature under a global topological non-triviality condition. We also show that due to dualistic structure of the domain manifold the result is still valid in dual coordinates.
Description
Keywords
Statistical manifolds, Dually flat structures, Harmonic maps