SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE


Duldul B.

HONAM MATHEMATICAL JOURNAL, vol.39, no.4, pp.603-616, 2017 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.5831/hmj.2017.39.4.603
  • Title of Journal : HONAM MATHEMATICAL JOURNAL
  • Page Numbers: pp.603-616

Abstract

In this paper, we give some relations related with a spacelike principal-direction curve and a spacelike binormal-direction curve of a timelike Frenet curve. The Darboux-direction curve and the Darboux-rectifying curve of a timelike Frenet curve in Minkowski 3-space E-1(3) are introduced and some characterizations related with these associated curves are given. Later we define the spacelike V-direction curve which is associated with a timelike curve lying on a timelike oriented surface in E-1(3) and present some results together with the relationships between the curvatures of this associated curve.