Normal direction curves and applications

  • Sezai Kiziltug, Erzincan Binali Yildirim University, Faculty of Arts and Sciences, Department of Mathematics, 24030 Erzincan, Turkey,
  • Mehmet ├ľnder, Delibekirli Village, Tepe Street, 31440 Kirikhan, Hatay, Turkey,
  • Yusuf Yayli, Ankara University, Faculty of Sciences, Department of Mathematics, 06100 Ankara, Turkey,


In this study, we define a new type of associated curves in the Euclidean 3-space such as normal-direction curve and normal-donor curve. We obtain characterizations for these curves. Moreover, we give applications of normal-direction to some special curves such as helix, slant helix, plane curve or normal-direction ( ND)-normal curves in 3 E . And, we show that slant helices and rectifying curves can be constructed by using normal-direction curves.

Vol. 22 (2021), No. 1, pp. 363-374
DOI: 10.18514/MMN.2021.1476

Download: MMN-1476