International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Motion groups and circular helices in Lorentz 3-space

Esma Demir1* and Yusuf Yayli2
1Department of Mathematics, Faculty of Science and Arts, Nevsehir University, Nevsehir, Turkey. 2Department of Mathematics, Faculty of Science, Ankara University, Tandogan, Ankara, Turkey.
Email: [email protected]

  •  Accepted: 20 September 2012
  •  Published: 30 September 2013

Abstract

In this paper, we find the curves which are orbits of points under the homothetic and helicoidal motion groups in Lorentz 3-space. Also, we show that if these curves are Frenet curves then their curvature and torsion are constant. So we can say that these curves are circular helix in Lorentz 3-space.

 

Key words: Helix, homothetic motion groups, helicoidal motion groups, Frenet curves.

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