Special curves in finsler space

Ateş F., Özdemir Z., Nejat Ekmekci F.

Proceedings of the Institute of Mathematics and Mechanics, cilt.44, sa.2, ss.198-208, 2018 (Scopus) identifier

  • 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: Scopus
  • Sayfa Sayıları: ss.198-208
  • Anahtar Kelimeler: Finsler spaces, Special curves and surfaces
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2018, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved. As one point moves along a curve, if the Frenet vectors are carried to the center of the unit Finsler sphere F S 2 at this point then these vectors trace curves on the F S 2 . 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 invari-ants. 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 F S 2 .