On C-parallel legendre curves in non-sasakian contact metric manifolds

Abstract

In (2n + 1)-dimensional non-Sasakian contact metric manifolds, we consider Legendre curves whose mean curvature vector fields are C-parallel or C-proper in the tangent or normal bundles. We obtain the curvature characterizations of these curves. Moreover, we give some examples of these kinds of curves which satisfy the conditions of our results.