(del)over-barHARMONIC CURVES AND SURFACES IN EUCLIDEAN SPACE En

Abstract

In this study we consider (del) over bar -harmonic curves and surfaces in Euclidean n-spaces E-n.We proved that every weak biharmonic curve is (del) over bar -harmonic.We also showed that every 1-parallel surface in E-4 is (del) over bar -harmonic, but the converse is not true. Finally we give the necessary condition for Vranceanu's surface to become (del) over bar -harmonic.