Constant Angle Ruled Surfaces Associated with Slant Ruled Surfaces

KAYA O.

FRONTIERS OF MATHEMATICS, vol.19, no.6, pp.989-1006, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 6
  • Publication Date: 2024
  • Doi Number: 10.1007/s11464-023-0009-x
  • Journal Name: FRONTIERS OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.989-1006
  • Keywords: Constant angle surface, slant ruled surface, position vector
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this study, we investigate constant angle ruled surfaces whose surface normals are parallel to the rulings, central normal vectors, central tangent vectors or unit Darboux vectors of slant ruled surfaces in the Euclidean 3-space. We show that such ruled surfaces are developable and unit director curve of such surfaces coincide with the rulings, Darboux vectors, central tangent vectors or central normal vectors of slant ruled surfaces. Furthermore, we calculate the position vectors of those ruled surfaces along with some examples.