On the -Homothetic BI-Warping and Biharmonic Maps

Abstract

Abstract The purpose of this paper is to study the biharmonicity of maps to or from almost contact manifolds. It also gives some results on the Fx1-homothetic bi-warping. We establish necessary and sufficient conditions under which a map of the product of a Riemannian manifold and an almost contact metric manifold is harmonic or biharmonic and we have constructed several examples.