Some Results on p-Shape Curvatures of Non-Lightlike Space Curves

Simsek H., ÖZDEMİR M.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.11, no.2, pp.61-70, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 2
  • Publication Date: 2018
  • Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Page Numbers: pp.61-70
  • Keywords: p-shape curvature, p-similarity, helix, MINKOWSKI 3-SPACE, SIMILARITY, SURFACES
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we obtain some findings for a non-null curve parameterized by spherical arc length. We investigate the relationship between a non-null curve with p-shape curvatures and pseudo-spherical curves on S-1(2) and H-2(-1). We introduce the concept of similar helix in Minkowski 3-space E-1(3). Besides, we explicitly determine the parametrizations of all non-lightlike self-similar curves by using the pseudo-spherical curves in E-1(3).