The Fermi-Walker Derivative on the Spherical Indicatrix of Spacelike Curve in Minkowski 3-Space

KARAKUŞ F., YAYLI Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.26, sa.2, ss.625-644, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00006-015-0635-9
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.625-644
  • Anahtar Kelimeler: Fermi-Walker derivative, Fermi-Walker parallelism, Non-rotating frame, Tangent indicatrix, Principal normal indicatrix, Binormal indicatrix, Helix, Slant helix
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame and Fermi-Walker terms Darboux vector concepts are given along the spherical indicatrix of a spacelike curve with a spacelike or timelike principal normal in . First, we consider a spacelike curve in the Minkowski space and investigate the Fermi-Walker derivative along the tangent. The concepts with the Fermi-Walker derivative are analyzed along its tangent. Then, the Fermi-Walker derivative and its theorems are analyzed along the principal normal indicatrix and the binormal indicatrix of spacelike curve in .