Surface pencil with a common adjoint curve

BAYRAM E.

TURKISH JOURNAL OF MATHEMATICS, vol.44, no.5, pp.1649-1659, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.3906/mat-1903-41
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1649-1659
  • Keywords: Surface pencil, asymptotic curve, geodesic, line of curvature, adjoint curve, PARAMETRIC REPRESENTATION, ASYMPTOTIC CURVE, FAMILY
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.