Tangent and trinormal spherical images of a time-like curve on the pseudohyperbolic space H-0(3)

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

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, vol.59, no.3, pp.216-224, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • 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: classical differential geometry, spherical images, time-like curves, general helix, ccr-curves
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this work tangent and trinormal spherical images of a time-like curve lying on the pseudohyperbolic space H-0(3) 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.