Characterizations of Bertrand Curves in Finsler 3-Manifold

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Gazi University Journal of Science
Volume:33 Issue:3
Characterizations of Bertrand Curves in Finsler 3-Manifold

Characterizations of Bertrand Curves in Finsler 3-Manifold

Authors : Fatma ATEŞ, Zehra ÖZDEMİR, Faik Nejat EKMEKCİ

Pages : 726-735

Doi:10.35378/gujs.607350

View : 31 | Download : 9

Publication Date : 2020-09-01

Article Type : Conference Paper

Abstract :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.
Keywords : Finsler space, Randers metric, Indicatrix surface, Bertrand curves, Finsler spherical curve

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