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

Year 2023, Volume: 16 Issue: 1, 48 - 61, 30.04.2023

Akhılesh Yadav , Ajay Kumar Yadav

https://doi.org/10.36890/iejg.1178802

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

Supporting Institution

COUNCIL OF SCIENTIFIC & INDUSTRIAL RESEARCH HUMAN RESOURCE DEVELOPMENT GROUP

Project Number

09/013(0953)/2020-EMR-I

Thanks

I, Ajay Kumar yadav, a research scholar of Department of Mathematics, Banaras Hindu University, India, submitting a research paper(joint work with Dr. Akhilesh Yadav, Assistant Professor, BHU) entitled , "Some characterizations of translation surface generated by spherical indicatrices of timelike curves in Minkowski 3-space" for possible publication in your esteemed journal. kindly acknowledge the receipt of the manuscript. Thanking You With Regards,

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