Mannheim B-curve couples in Minkowski 3-space

Authors

  • Kazim ILARSLAN KIRIKKALE UNIVERSITY
  • Ali UCUM KIRIKKALE UNIVERSITY
  • Emilija NESOVIC KRAGUJEVAC UNIVERSITY
  • Nihal KILIC ASLAN KIRIKKALE UNIVERSITY

DOI:

https://doi.org/10.5556/j.tkjm.51.2020.3059

Keywords:

Bishop frame, Mannheim curve, null Cartan curve, pseudo-null curve, Minkowski space

Abstract

In this paper, we define null Cartan and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim B-curves in terms of their Bishop curvatures. We prove that there are no null Cartan curves in Minkowski 3-space which are Mannheim B-curves, by considering the cases when their Mannheim B-mate curves are spacelike, timelike, null Cartan and pseudo null curves. Finally, we give some examples of pseudo null Mannheim B-curve pairs.

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Additional Files

Published

2020-09-25

How to Cite

ILARSLAN, K., UCUM, A., NESOVIC, E., & KILIC ASLAN, N. (2020). Mannheim B-curve couples in Minkowski 3-space. Tamkang Journal of Mathematics, 51(3), 219-232. https://doi.org/10.5556/j.tkjm.51.2020.3059

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