Bishop spherical images of a spacelike curve in Minkowski 3-space

Yilmaz S.

INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES, vol.5, no.6, pp.898-905, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 6
  • Publication Date: 2010
  • Journal Name: INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.898-905
  • Keywords: Classical differential geometry, spacelike curve, spherical image, Minkowski space
  • Dokuz Eylül University Affiliated: No

Abstract

In this work, we introduce Bishop spherical images of a spacelike curve in terms of Bishop trihedra in Minkowski 3-space. With this aim, we translate Bishop frame vectors to the center of Lorentzian sphere and give some characterizations. Additionally, we illustrate an example of our main results.