Springer Iranian Journal of Science 2731-8095 39 4 2015 12 15 Some characterizations for Legendre curves in the 3-Dimensional Sasakian space 533 541 3413 10.22099/ijsts.2015.3413 EN H. Kocayigit Department of Mathematics, Faculty of Arts and Sciences, Celal Bayar University, Muradiye Campus, Muradiye, Manisa 45140, Turkey M. Onder Department of Mathematics, Faculty of Arts and Sciences, Celal Bayar University, Muradiye Campus, Muradiye, Manisa 45140, Turkey Journal Article 2014 09 07   <br /><span style="font-size: xx-small;">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. </span> Legendre curve normal curve rectifying curve Sasakian space https://ijsts.shirazu.ac.ir/article_3413_b6b6ff9ba0e38026f3972f27656636fd.pdf