In this study, we give the linear condition for the Bertrand curve of a given curve in Finslerian 3-space. Using the Izumiya and Takeuchi’s paper as an inspiration, Bertrand curves of Finslerian spherical curves are defined according to Randers metric which is a special Finslerian metric. Also, we obtain the Finsler helix derived from the Finslerian circle according to Randers metric and their visualizations are given by using the Mathematica program.
Primary Language | English |
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Subjects | Engineering |
Journal Section | Mathematics |
Authors | |
Publication Date | September 1, 2020 |
Published in Issue | Year 2020 Volume: 33 Issue: 3 |