Golden warped product Riemannian manifolds

Abstract

The aim of our paper is to introduce the Golden warped product Riemannian manifold and study its properties with a special view towards its curvature. We obtain a characterization of the Golden struc- ture on the product of two Golden manifolds in terms of Golden maps and provide a necessary and sufficient condition for the warped prod- uct of two locally Golden Riemannian manifolds to be locally Golden. The particular case of product manifolds is discussed and an example of Golden warped product Riemannian manifold is also given. Keywords: Warped product manifold, Golden Riemannian