SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

Creative Commons License

ÖZDEMİR M., Şimşek H.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, vol.52, no.6, pp.2071-2093, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 6
  • Publication Date: 2015
  • Doi Number: 10.4134/bkms.2015.52.6.2071
  • Journal Name: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2071-2093
  • Keywords: Lorentzian similarity geometry, similarity transformation, similarity invariants, similar curves, self-similar curves, MANIFOLDS, FRACTALS, MOTION, HIERARCHIES, RECOGNITION, EQUATIONS
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of E-1(n). We determine the parametrizations of non-null self-similar curves in E-1(n).