Extended Rectifying Curves in Minkowski 3-Space

Yilmaz B., GÖK İ., YAYLI Y.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.26, sa.2, ss.861-872, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00006-015-0637-7
  • Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.861-872
  • Anahtar Kelimeler: Rectifying curve, modified Darboux vector, CONSTANT PRECESSION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider nonhelical rectifying curves using the any orthonormal moving frame in Minkowski 3-space. Then, we give some relations between nonhelical rectifying curves and their Darboux vectors. Also, we demonstrate that the modified Darboux vectors of the curves are rectifying curves. So, this study is a general expression for the known rectifying curves. In the last section, we give some examples and draw their pictures.