A note on harmonic maps of statistical manifolds

Authors : Fatma Muazzez ŞİMŞİR

Pages : 1370-1376

Doi:10.31801/cfsuasmas.530449

View : 15 | Download : 6

Publication Date : 2019-08-01

Article Type : Research Paper

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