Copy For Citation
GÖK İ., Nurkan S. K., Ilarslan K.
Kyungpook Mathematical Journal, vol.54, no.4, pp.685-697, 2014 (Scopus)
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Publication Type:
Article / Article
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Volume:
54
Issue:
4
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Publication Date:
2014
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Doi Number:
10.5666/kmj.2014.54.4.685
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Journal Name:
Kyungpook Mathematical Journal
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Journal Indexes:
Scopus
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Page Numbers:
pp.685-697
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Keywords:
(1, 3)-Bertrand curve, Frenet vectors, Minkowski space-time, Pseudo null curve
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Uşak University Affiliated:
Yes
Abstract
In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1, k2(s) ≠ 0 and k3(s) other than itself in Minkowski spacetime E41 and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1; 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1; 3)-Bertrand curves in Minkowski spacetime.