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Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952

Proceedings of the Estonian Academy of Sciences

ISSN 1736-7530 (electronic)   ISSN 1736-6046 (print)
Formerly: Proceedings of the Estonian Academy of Sciences, series Physics & Mathematics and  Chemistry
Published since 1952
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Tangent and trinormal spherical images of a time-like curve on the pseudohyperbolic space H30; pp. 216–224

(Full article in PDF format) doi: 10.3176/proc.2010.3.04


Authors

Süha Yılmaz, Emin Özyılmaz, Yusuf Yaylı, Melih Turgut

Abstract

In this work tangent and trinormal spherical images of a time-like curve lying on the pseudohyperbolic space H30 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.

Keywords

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

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Current Issue: Vol. 68, Issue 4, 2019




Publishing schedule:
No. 1: 20 March
No. 2: 20 June
No. 3: 20 September
No. 4: 20 December