In the present paper, we find a surface family possessing the natural lift of a given spacelike curve with spacelike binormal as an asymptotic curve or geodesic in Minkowski 3-space. We express necessary and sufficient conditions for the given curve such that its natural lift is an asymptotic curve or geodesic on any member of the surface family. Finally, we illustrate the method with some examples.
Primary Language | English |
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Subjects | Engineering |
Journal Section | Articles |
Authors | |
Publication Date | April 15, 2020 |
Submission Date | October 17, 2018 |
Acceptance Date | February 24, 2020 |
Published in Issue | Year 2020 Volume: 8 Issue: 1 |