Characterizations of Bertrand Curves in Finsler 3-Manifold

Authors : Fatma Ateş, Zehra Özdemir, Faik Nejat Ekmekci

Pages : 726-735

Doi:10.35378/gujs.607350

View : 25 | Download : 10

Publication Date : 2020-09-01

Article Type : Other

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