Legendre Curves and the Singularities of Ruled Surfaces Obtained by Using Rotation Minimizing Frame

BEKAR M., Hathout F., YAYLI Y.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.73, sa.5, ss.686-700, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 5
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11253-021-01953-8
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.686-700
  • Gazi Üniversitesi Adresli: Evet

Özet

We represent Legendre curves in unit tangent bundle by using rotation minimizing vector fields. Ruled surfaces corresponding to these curves are specified. The singularities of these ruled surfaces are also analyzed and classified.