Using the Izumiya and Takeuchi’s paper as an inspiration, Bertrand curves of Finslerianspherical 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 metricand their visualizations are given by using the Mathematica program.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we give the linear condition for the Bertrand curve of a given curve in Finslerian 3-space.
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Key Findings & Data:In this study, we give the linear condition for the Bertrand curve of a given curve in Finslerian 3-space.
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Conclusion & Impact:Using the Izumiya and Takeuchi’s paper as an inspiration, Bertrand curves of Finslerianspherical 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 metricand their visualizations are given by using the Mathematica program.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
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 Finslerianspherical 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 metricand their visualizations are given by using the Mathematica program.
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Cite This Article
OZDEMIR, Z., ATES, F., EKMEKCI, F. N. (2022). Characterizations of Bertrand Curves in Finsler 3-Manifold. Gazi University Journal of Science, Cilt: 33 - Sayı: 3, 726–735. https://ajindex.com/articles/521259
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