Ayşe ÇİÇEK, Sıddıka ÖZKALDI KARAKUŞ, Halit GÜNDOĞAN

Conics and Quadrics in Lorentzian Space

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,

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[1] O’Neill, B., Semi-Riemannian Geometry With Applications to Relativity, Academic Press, Inc, ork, 1983.
[2] Protter M.H., Analytic Geometry, Addison-Wesley Publishing Company, 1975.
[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.

Mathematical Sciences and Applications E-Notes-Cover

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

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