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On harmonic curvatures of a Frenet curve in Lorentzian space

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  • Külahcı, Mihriban
  • Bektaş, Mehmet
  • Ergüt, Mahmut

Abstract

In this paper, we consider curves of AW(k)-type, 1⩽k⩽3, in Lorentzian space. We give curvature conditions of these kind of curves. Furthermore, we study harmonic curvatures of curves of AW(k)-type. We investigate that under what conditions AW(k)-type curves are helix. Some related theorems and corollaries are also proved.

Suggested Citation

  • Külahcı, Mihriban & Bektaş, Mehmet & Ergüt, Mahmut, 2009. "On harmonic curvatures of a Frenet curve in Lorentzian space," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1668-1675.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1668-1675
    DOI: 10.1016/j.chaos.2008.07.013
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    1. Yin, Yajun & Zhang, Tong & Yang, Fan & Qiu, Xinming, 2008. "Geometric conditions for fractal super carbon nanotubes with strict self-similarities," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1257-1266.
    2. Camcı, Çetin & İlarslan, Kazım & Kula, Levent & Hacısalihoğlu, H. Hilmi, 2009. "Harmonic curvatures and generalized helices in En," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2590-2596.
    3. El Naschie, M.S., 2005. "Experimental and theoretical arguments for the number and the mass of the Higgs particles," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1091-1098.
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