International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2576

Full Length Research Paper

Special type of developable surfaces in terms of focal curves of spacelike biharmonic general helices with timelike normal in the Lorentzian

Talat KÖRPINAR and Essin TURHAN*
Department of Mathematics, Firat University, 23119, Elazığ, Turkey.
Email: [email protected]

  •  Accepted: 24 March 2011
  •  Published: 09 November 2011

Abstract

 

In this paper, we study focal curves of spacelike biharmonic general helices in the Lorentzian group of rigid motions . We characterize the spacelike biharmonic general helices in terms of their curvature and torsion in the Lorentzian group of rigid motions . Moreover, we construct parametric equations of special type developable surfaces in terms of focal curves of spacelike biharmonic general helices in the Lorentzian .

 

Key words: Focal curve, developable surface, biharmonic curve, harmonic curve, rigid motions.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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