Golden maps between Golden Riemannian manifolds and constancy of certain maps

Abstract

We first introduce Golden maps between Golden Riemannian manifolds,give an example and show that such map is harmonic. Then weinvestigate the constancy of certain maps from Golden Riemannianmanifolds to various manifolds by imposing the holomorphic-like mapcondition. Then we consider the reverse case and show that all suchmaps are constant.