Ruled surface family with common special curve

Yaman S., Kasap E.

JOURNAL OF GEOMETRY AND PHYSICS, cilt.195, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 195
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.geomphys.2023.105033
  • Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the problem of the construction of a ruled surface family passing through the striction curve (c) of a ruled surface q). We first define ruled surface family with common striction curve (c). Using the geodesic Frenet frame {e, t, g} of the ruled surface q), we present sufficient conditions for that striction curve to be geodesic, line of curvature and asymptotic curve. Finally, we give some examples to show ruled surfaces with common geodesic, line of curvature and asymptotic curve.(c) 2023 Elsevier B.V. All rights reserved.