SPECIAL CURVES IN FINSLER SPACE
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, cilt.44, sa.2, ss.198-208, 2018 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 2
- Basım Tarihi: 2018
- Dergi Adı: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.198-208
- Ankara Üniversitesi Adresli: Evet
Özet
As one point moves along a curve, if the Frenet vectors are carried to the center of the unit Finsler sphere FS2 at this point then these vectors trace curves on the FS2. These curves called as spherical images of the curve c. In this study, we investigate the Finslerian spherical images of any curve in Finsler space F-3. Also, we obtain the Frenet-Serret formulas of these new curves in terms of Finsler invariants. Furthermore, these curves are exemplified using the Randers metric which is a special structure of the Finsler metric. Finally, these curves are illustrated on the FS2.