Generalized Fermi-Walker derivative and non-rotating frame

UÇAR A., KARAKUŞ F., YAYLI Y.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.14, no.9, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 9
  • Publication Date: 2017
  • Doi Number: 10.1142/s0219887817501316
  • Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Generalized Fermi-Walker derivative, generalized Fermi-Walker parallelism, generalized non-rotating frame, Frenet frame, Darboux frame, Bishop frame, PHASE
  • Ankara University Affiliated: Yes

Abstract

In this paper, generalized Fermi-Walker derivative, generalized Fermi-Walker parallelism and generalized non-rotating frame concepts are given for Frenet frame, Darboux frame and Bishop frame for any curve in Euclidean space. Being generalized, non-rotating frame conditions are analyzed for each frames along the curve. Then we show that Frenet and Darboux frames are generalized non-rotating frames along all curves and also Bishop frame is generalized non-rotating frame along planar curves in Euclidean space.