Conics and Quadrics in Lorentzian Space

Year 2018, Volume: 6 Issue: 1, 58 - 63, 27.04.2018

Ayşe Çiçek Gözütok , Sıddıka Özkaldı Karakuş , Halit Gündoğan

https://doi.org/10.36753/mathenot.421759

Cited By: 4

Abstract

In this paper we give geometric definitions of the Lorentzian ellipse, Lorentzian hyperbola, and Lorentzian
parabola as plane curves in Lorentzian plane. Moreover we obtain the equations of Lorentzian revolution
ellipsoid, Lorentzian revolution hyperboloid and Lorentzian revolution paraboloid respectively.

Keywords

Conics, quadrics, Lorentzian space

References

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• [3] Ratcliffe, J.G.Foundatitons of Hyperbolic Manifolds, Springer-Verlag, New York, 1994.
• [4] Smith W.K, Analytic Geometry, The Macmillan Company, New York, 1972.