Ruled surfaces obtained by bending of curves

GÖZÜTOK U., ÇOBAN H. A., SAĞIROĞLU Y.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.1, ss.300-306, 2020 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1908-21
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.300-306
  • Anahtar Kelimeler: Ruled surfaces, bending of curves, developable surfaces, WILLMORE ENERGY
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

We consider a first-order infinitesimal bending of a curve in R-3 to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.