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Position vectors of a timelike and a null helix in Minkowski 3-space

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  • İlarslan, Kazım
  • Boyacıoğlu, Özgür

Abstract

In this paper, we study the position vectors of a timelike and a null helix (or a W-curve), i.e. curve with constant curvatures in the Minkowski 3-space E13. We give some characterizations for timelike and null helix whose image lies on the Lorentzian sphere S12 or pseudo-hyperbolical space H02 by using the positions vectors of the curve.

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  • İlarslan, Kazım & Boyacıoğlu, Özgür, 2008. "Position vectors of a timelike and a null helix in Minkowski 3-space," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1383-1389.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:5:p:1383-1389
    DOI: 10.1016/j.chaos.2008.04.003
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    1. El Naschie, M.S., 2005. "Einstein’s dream and fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 1-5.
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    1. Areej A. Almoneef & Rashad A. Abdel-Baky, 2023. "Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space 𝔼 1 3," Mathematics, MDPI, vol. 11(13), pages 1-13, June.

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