DEVELOPABLE CURVE-SURFACE PAIR AND SPHERICAL REPRESENTATIONS BY BISHOP FRAME

Kaya F. E., YAYLI Y.

APPLIED AND COMPUTATIONAL MATHEMATICS, vol.16, no.3, pp.228-239, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 3
  • Publication Date: 2017
  • Journal Name: APPLIED AND COMPUTATIONAL MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.228-239
  • Keywords: Curve-Surface Pair (Strip), Curvature, Slant Helix, Spherical Helix
  • Ankara University Affiliated: Yes

Abstract

We know that Izumiya and Takeuchi define slant helices and conical geodesic curves in Euclidean 3-space. They investigated slant helices and geodesic curves. We define new special curve-surface pairs that we call slant helix curve-surface pairs and conical geodesic curve-surface pairs in Euclidean 3-space. The aim of this study is to analyze the curves by using slant helix in type of curve-surface pairs and making some developable operations on their curve-surface pairs well investigate the spherical helix strips by spherical representations by the help of the Bishop frame.