A Different View on Dynamics of Space Curves Geometry

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TUNÇER Y.

Journal of Nonlinear Mathematical Physics, cilt.29, sa.1, ss.73-94, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s44198-021-00023-8
  • Dergi Adı: Journal of Nonlinear Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.73-94
  • Anahtar Kelimeler: 53A04, 53A17, 53Z05, Dual curves, Equilibrium, Gyroscobic curves, Torque curves
  • Uşak Üniversitesi Adresli: Evet

Özet

In this study, we define the X-torque curves, X- equilibrium curves, X-moment conservative curves, X- gyroscopic curves as new curves derived from a regular space curve by using the Frenet vectors of a space curve and its position vector, where X∈ { T(s) , N(s) , B(s) } and we examine these curves and we give their properties.