Some characterizations for Legendre curves in the 3-Dimensional Sasakian space

Document Type : Regular Paper


Department of Mathematics, Faculty of Arts and Sciences, Celal Bayar University, Muradiye Campus, Muradiye, Manisa 45140, Turkey


In this paper, we give some characterizations for Legendre spherical, Legendre normal and Legendre rectifying curves in the 3-dimensional Sasakian space. Furthermore, we show that Legendre spherical curves are also Legendre normal curves. In particular, we prove that the inverse of curvature of a Legendre rectifying curve is a non-constant linear function of the arclength parameter.