A note on harmonic maps of statistical manifolds

Year 2019, Volume: 68 Issue: 2, 1370 - 1376, 01.08.2019

Fatma Muazzez Şimşir

https://doi.org/10.31801/cfsuasmas.530449

Cited By: 1

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.

Keywords

Statistical manifolds, dually flat structures, harmonic maps

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