Some Characterizations of Translation Surface Generated by Spherical Indicatrices of Timelike Curves in Minkowski 3-space

Authors : Akhılesh YADAV, Ajay KUMAR YADAV

Pages : 48-61

Doi:10.36890/iejg.1178802

View : 9 | Download : 6

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :In this paper, we study translation surfaces generated by spherical indicatrices of timelike curves in Minkowski 3-space and find necessary and sufficient conditions for the translation surfaces to be flat or minimal. Further, we obtain necessary and sufficient conditions for generating curves of the translation surfaces to be geodesic, asymptotic line and line of curvature. Finally for such translation surfaces we obtain the axis when they are constant angle surfaces.
Keywords : Tangent indicatrices, principal normal indicatrices, binormal indicatrices, timelike curves