Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time
Künye
Uçum A, Keçilioğlu O, İlarslan K (2016). Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time. Turkish Journal of Mathematics, 40(3), 487 - 505.Özet
In this paper, we reconsider the (1, 3)-Bertrand curves with respect to the casual characters of a (1, 3)-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given curve. Here, we restrict our investigation of (1, 3)-Bertrand curves to the spacelike (1, 3)-normal plane in Minkowski space-time. We obtain the necessary and sufficient conditions for the curves with spacelike (1, 3)-normal plane to be (1, 3)-Bertrand curves and we give the related examples for these curves.
Kaynak
Turkish Journal Of MathematicsCilt
40Sayı
3Koleksiyonlar
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