EAP - Proceedings of the Estonian Academy of Sciences

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SINCE 1952

proceedings
of the estonian academy of sciences

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ISSN 1736-6046 (Print)

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Tangent and trinormal spherical images of a time-like curve on the pseudohyperbolic space H³₀; pp. 216–224

PDF | 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.

References

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