Characterizations of Bertrand Curves in Finsler 3-Manifold
GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.33, sa.3, ss.726-735, 2020 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 3
- Basım Tarihi: 2020
- Doi Numarası: 10.35378/gujs.607350
- Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.726-735
- Anahtar Kelimeler: Finsler space, Indicatrix surface, Bertrand curves, Randers metric, Finsler spherical curve
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Hayır
Özet
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.