Timelike V-Bertrand Curves in Minkowski 3-Space $E_{1}^{3}$

Year 2022, Issue: 38, 14 - 24, 31.03.2022

Burhan Bilgin , Çetin Camcı

https://doi.org/10.53570/jnt.1051013

Abstract

In this paper, the timelike V-Bertrand curve, a new type Bertrand curve in Minkowski 3-Space $E_{1}^{3}$, is characterized. Based on the timelike V-Bertrand curve, the properties of the timelike T, N, and B Bertrand curves are obtained. From the timelike V-Bertrand curve, f-Bertrand curves and Bertrand surfaces are defined. We support the existence of these new curves and surfaces with examples. Finally, we discuss the results for further research.

Keywords

Bertrand curves, V-Bertrand curves, Minkowski 3-space, timelike V-Bertrand curves

Supporting Institution

Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University

Project Number

FYL-2019-2927

Thanks

This work was supported by the Office of Scientific Research Projects Coordination at Çanakkale Onsekiz Mart University, Grant number: FYL-2019-2927.

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