Characterizations Of Bertrand Curves In Finsler 3-Manifold
GAZI UNIVERSITY JOURNAL OF SCIENCE(2020)
摘要
In this study, we give the linear condition for the Bertrand curve of a given curve in Finslerian 3space. 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.
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关键词
Finsler space, Indicatrix surface, Bertrand curves, Randers metric, Finsler spherical curve
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