Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A NEW MODELLING OF TIMELIKE Q-HELICES

  • Yasin Unluturk (Department of Mathematics, Kirklareli University) ;
  • Cumali Ekici (Department of Mathematics and Computer Sciences, Eskisehir Osmangazi University) ;
  • Dogan Unal (Department of Software Engineering, Kirklareli University)
  • Received : 2022.07.21
  • Accepted : 2023.01.11
  • Published : 2023.06.01
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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.

Keywords

Acknowledgement

The authors express thanks to the referees who contribute their valuable suggestions to the manuscript.

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