Frenet curves in 3-dimensional Lorentzian concircular structure manifolds

Abstract

In this paper, we give some characterizations of Frenet curves in 3-dimensional Lorentzian concircular structure manifolds((LCS)_3 manifolds). We define Frenet equations and the Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on (LCS)_3 manifolds. Finally we give some theorems, corollaries and examples for these curves.