Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Pseudo Null Bertrand Curves in Minkowski Space-time

  • Gok, Ismail (Department of Mathematics, Faculty of Science, Ankara University) ;
  • Nurkan, Semra Kaya (Department of Mathematics, Faculty of Science and Arts, Usak University) ;
  • Ilarslan, Kazim (Department of Mathematics, Faculty of Sciences and Arts, Krkkale University)
  • Received : 2012.09.18
  • Accepted : 2013.06.28
  • Published : 2014.12.23
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Abstract

In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions $k_1(s)=1$, $k_2(s){\neq}0$ and $k_3(s)$ other than itself in Minkowski spacetime ${\mathbb{E}}_1^4$ 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.

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References

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