Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
Keywords:
Bertrand curve, Minkowski space-time, Frenet planes.Abstract
In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casualcharacters of (1,3)-normal plane which is a plane spanned by the principal normal andthe second binormal vector fields of the given curve. Here, we restrict our investigationof (1,3)-Bertrand curves to the timelike (1,3)-normal plane in Minkowski spacetime.We obtain the necessary and sufficient conditions for the curves with timelike(1,3)-normal plane to be (1,3)-Bertrand curves and we give the related examples forthese curves.References
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