Frenet curves in 3-dimensional δ-Lorentzian trans Sasakian manifolds

Abstract

In this paper, we give some characterizations of Frenet curves in 3-dimensional δ-Lorentzian trans-Sasakian manifolds. We compute the Frenet equations and Frenet elements of these curves. We also obtain the curvatures of non-geodesic Frenet curves on 3-dimensional δ-Lorentzian trans-Sasakian manifolds. Finally, we give some results for these curves.

Keywords

• frenet curves
• frenet elements
• lorentzian metric
• almost contact metric manifold
• δ-lorentzian manifold