A NOTE ON HARMONIC MAPS OF STATISTICAL MANIFOLDS

Abstract

We show an existence and uniqueness result for a class of mapsfrom a áat statistical manifold into a Riemannian manifold in a given homotopyclass when the target Riemannian manifold is of negative sectional curvatureunder a global topological non-triviality condition. We also show that dueto dualistic structure of the domain manifold the result is still valid in dualcoordinates.