Tubular Surfaces Formed by Semi-spherical Indicatrices in E-1(3)

ATEŞ F., Kocakusakli E., GÖK İ., Ekmekci N.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.17, no.4, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s00009-020-01561-z
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Keywords: Tubular surface, semi-spherical indicatrices, singular points, geodesic curve, asymptotic curve, HELIX
  • Ankara University Affiliated: Yes

Abstract

In this paper, we study tubular surfaces whose centers are semi-spherical indicatrices of a spatial curve using the alternative moving frame {N, C, W}. The first objective is to examine the basic properties of these surfaces. Then, we investigate the condition of the parameter curves on these surfaces to be asymptotic and geodesic curves. Finally, we present the graphs of some related examples using the Mathematica.