[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5831/HMJ.2018.40.3.561

NOTE ON BERTRAND B-PAIRS OF CURVES IN MINKOWSKI 3-SPACE

Ilarslan, Kazim (Department of Mathematics, Kirikkale University)
Ucum, Ali (Department of Mathematics, Kirikkale University)
Aslan, Nihal Kilic (Department of Mathematics, Kirikkale University)
Nesovic, Emilija (Department of Mathematics and Informatics, University of Kragujevac)

Publication Information

Honam Mathematical Journal / v.40, no.3, 2018 , pp. 561-576 More about this Journal

Abstract

In this paper, we define null Cartan and pseudo null Bertrand curves in Minkowski space ${\mathbb{E}}^3_1$ according to their Bishop frames. We obtain the necessary and sufficient conditions for pseudo null curves to be Bertand B-curves in terms of their Bishop curvatures. We prove that there are no null Cartan curves in Minkowski 3-space which are Bertrand B-curves, by considering the cases when their Bertrand B-mate curves are spacelike, timelike, null Cartan and pseudo null curves. Finally, we give some examples of pseudo null Bertrand B-curve pairs.

Keywords

Bishop frame; Bertrand curve; null Cartan curve; pseudo null curve;

Citations & Related Records

Reference

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