Directional Bertrand Curves

DEDE M., EKİCİ C., Arslan Guven I.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.31, no.1, pp.202-211, 2018 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 1
  • Publication Date: 2018
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.202-211
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion. In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions. Our main result is that every space curve is a directional Bertrand curve.