Filomat 2018 Volume 32, Issue 2, Pages: 355-367
https://doi.org/10.2298/FIL1802355C
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General helices with lightlike slope axis
Camcı Çetin (Onsekiz Mart University, Faculty of Sciences and Arts, Department of Mathematics, Çanakkale, Turkey)
İlarslan Kazım (Kırıkkale University, Faculty of Sciences and Arts, Department of Mathematics, Kırıkkale-Turkey)
Uçum Ali (Kırıkkale University, Faculty of Sciences and Arts, Department of Mathematics, Kırıkkale-Turkey)
In this paper, we investigate general helices with lightlike slope axis. We
give necessary and sufficient conditions for a general helix to have a
lightlike slope axis. We obtain parametric equation of all general helices
with lightlike slope axis. Also we give a nice relation between helix with
lightlike slope axis and biharmonic curves in Minkowski 3-space E31.
Keywords: general helix, lightlike slope axis, biharmonic curve, Minkowski 3-space