A Different View on Dynamics of Space Curves Geometry

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TUNÇER Y.

Journal of Nonlinear Mathematical Physics, vol.29, no.1, pp.73-94, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1007/s44198-021-00023-8
  • Journal Name: Journal of Nonlinear Mathematical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Page Numbers: pp.73-94
  • Keywords: 53A04, 53A17, 53Z05, Dual curves, Equilibrium, Gyroscobic curves, Torque curves
  • Open Archive Collection: AVESIS Open Access Collection
  • Uşak University Affiliated: Yes

Abstract

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.