Timelike clad helices and developable surfaces in Minkowski 3-space

Kaya S., Ates O., GÖK İ., YAYLI Y.

Rendiconti del Circolo Matematico di Palermo, vol.68, no.2, pp.259-273, 2019 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 68 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.1007/s12215-018-0355-9
  • Journal Name: Rendiconti del Circolo Matematico di Palermo
  • Journal Indexes: Scopus
  • Page Numbers: pp.259-273
  • Keywords: Timelike clad helices, Timelike g-clad helices, Developable surfaces, SLANT HELICES, CURVES
  • Ankara University Affiliated: Yes

Abstract

© 2018, Springer-Verlag Italia S.r.l., part of Springer Nature.The main goal of the paper is to introduce timelike clad (C-slant curves or 2-type slant curves) and g-clad helices (3-type slant curves) which are generalizations of the concept of timelike helices. This aim can be achieved in terms of well known Frenet frame or new alternative frame of a curve in Minkowski 3-space. Our opinion is that for the present case the alternative frame is more useful than the other. Furthermore, we investigate the relationships between a curve and geodesics of tangent developable surface of the curve.