Tangent and trinormal spherical images of a time-like curve on the pseudohyperbolic space H03

YILMAZ S., Özyilmaz E., YAYLI Y., Turgut M.

Proceedings of the Estonian Academy of Sciences, vol.59, no.3, pp.216-224, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 59 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.3176/proc.2010.3.04
  • Journal Name: Proceedings of the Estonian Academy of Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.216-224
  • Keywords: Ccr-curves, Classical differential geometry, General helix, Spherical images, Time-like curves
  • Ankara University Affiliated: Yes

Abstract

In this work tangent and trinormal spherical images of a time-like curve lying on the pseudohyperbolic space H03 in Minkowski space-time are investigated. We observe that the mentioned spherical images are space-like curves. Besides, we determine relations between Frenet Serret invariants of spherical images and the base curve. Additionally, some characterizations of spherical images to be general helices if the base curve is a ccr-curve are presented.