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On characterization of spacelike dual biharmonic curves in dual Lorentzian Heisenberg group | ||
| Iranian Journal of Science | ||
| مقاله 11، دوره 37، شماره 3.1، آذر 2013، صفحه 403-410 اصل مقاله (294.46 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1640 | ||
| نویسندگان | ||
| T. Korpinar1؛ E. Turhan2؛ V. Asil* 3 | ||
| 1Department of Mathematics, Mus Alparslan University, 49250, Mus, Turkey | ||
| 2Department of Mathematics, Firat University, 23119, Elazig, Turkey | ||
| 33Department of Mathematics, Firat University, 23119, Elazig | ||
| چکیده | ||
| In this paper, we study spacelike dual biharmonic curves. We characterize spacelike dual biharmonic curves in terms of their curvature and torsion in the Lorentzian dual Heisenberg group . We give necessary and sufficient conditions for spacelike dual biharmonic curves in the Lorentzian dual Heisenberg group . Therefore, we prove that all spacelike dual biharmonic curves are spacelike dual helix. Moreover, we give their explicit parametrizations of spacelike dual biharmonic curves. Finally, we illustrate our main results in Figs. 1 and 2. | ||
| کلیدواژهها | ||
| Bienergy؛ biharmonic curve؛ Helix؛ Heisenberg group | ||
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