Tangent and Trinormal Spherical Images of a time-like Curve on the Pseudohyperbolic Space H(superscript 3 subscript 0)

Süha Yılmaz ； Emin Özyılmaz ； Yusuf Yaylı ； Melih Turgut

《Proceedings of the Estonian Academy of Sciences》 59卷3期 (2010/09) Pp. 216-224

並列摘要

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

並列關鍵字

classical differential geometry ； spherical images ； time-like curves ； general helix ； ccr-curves