Null W-slant helices in E-1(3)

Gokcelik F., GÖK İ.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.420, no.1, pp.222-241, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 420 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1016/j.jmaa.2014.05.057
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.222-241
  • Keywords: Null curve, Slant helices, Harmonic curvature functions, Lorentzian 3-space, CURVES
  • Ankara University Affiliated: Yes

Abstract

In this paper, we give the necessary and sufficient conditions for null curves in E-1(3) to be W-slant helix in terms of their curvature functions. Mainly, throughout this paper relationships between the null W-slant helices and their pseudo spherical images are obtained. Furthermore, some illustrative examples of the null W-slant helices and their pseudo spherical indicatrices in E-1(3) are demonstrated. (C) 2014 Elsevier Inc. All rights reserved.