Surface pencil with a common adjoint curve

BAYRAM E.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.5, ss.1649-1659, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1903-41
  • 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.1649-1659
  • Anahtar Kelimeler: Surface pencil, asymptotic curve, geodesic, line of curvature, adjoint curve, PARAMETRIC REPRESENTATION, ASYMPTOTIC CURVE, FAMILY
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In the present paper, we construct surfaces possessing an adjoint curve of a given space curve as an asymptotic curve, geodesic or line of curvature. We obtain conditions for ruled surfaces and developable ones. Finally, we present illustrative examples to show the validity of the present method.