Surface family with a common natural geodesic lift of a spacelike curve with timelike binormal in Minkowski 3-space

Authors : Ergin BAYRAM, Evren ERGÜN, Emin KASAP

Pages : 17-23

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Publication Date : 2019-02-05

Article Type : Research Paper

Abstract :In this work we aim to find a surface family possessing the natural lift of a given spacelike curve with timelike binormal as a geodesic in Minkowski 3-space. We express necessary and sufficient conditions for the given curve such that its natural lift is a geodesic on any member of the surface family. Finally, we illustrate the method with some examples.
Keywords : Surface family, natural lift, geodesic, spacelike curve, Minkowski 3 space