Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time

WOS: 000386114900002In 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.TUBITAK (Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)The authors express thanks to the referees for their valuable suggestions. The first author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his PhD studies