Published January 1, 2019
| Version v1
Journal article
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SURFACE FAMILY WITH A COMMON NATURAL GEODESIC LIFT OF A TIMELIKE CURVE IN MINKOWSKI 3-SPACE
Creators
- 1. Ondokuz Mays Univ, Carsamba Chamber Commerce Vocat Sch, Carsamba, Samsun, Turkey
- 2. Ondokuz Mays Univ, Fac Arts & Sci, Dept Math, Samsun, Turkey
Description
In the present paper, we find a surface family possessing the natural lift of a given timelike curve 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.
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