Biharmonic Frenet and Non-Frenet Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds

Abstract

In the present paper we study non-null biharmonic curves in 3-dimensional normal almost paracontact metric manifolds. We give some necessary and sufficient conditions for Legendre curves in a 3-dimensional normal almost paracontact metric manifolds to be biharmonic in terms of structure functions alpha and beta.