A NEW MODELLING OF TIMELIKE Q-HELICES

Unluturk Y., EKİCİ C., Unal D.

HONAM MATHEMATICAL JOURNAL, vol.45, no.2, pp.231-247, 2023 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.5831/hmj.2023.45.2.231
  • Journal Name: HONAM MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.231-247
  • Keywords: q-frame, timelike q-helices, the relations between timelike q-helices, Darboux q-helices, NULL SLANT HELICES, FRAME
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this study, we mean that timelike q-helices are curves whose q-frame fields make a constant angle with a non-zero fixed axis. We present the necessary and sufficient conditions for timelike curves via the q-frame to be q-helices in Lorentz-Minkowski 3-space. Then we find some results of the relations between q-helices and Darboux q-helices. Furthermore, we portray Darboux q-helices as special curves whose Darboux vector makes a constant angle with a non-zero fixed axis by choosing the curve as one of the types of q-helices, and also the general case.