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, cilt.59, sa.3, ss.216-224, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 59 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.3176/proc.2010.3.04
  • Dergi Adı: Proceedings of the Estonian Academy of Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.216-224
  • Anahtar Kelimeler: Ccr-curves, Classical differential geometry, General helix, Spherical images, Time-like curves
  • Ankara Üniversitesi Adresli: Evet

Özet

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.