Journals / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 1

Conics and Quadrics in Lorentzian Space

Pages
58–63
Publication Date
2022-10-19
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Moreover we obtain the equations of Lorentzian revolutionellipsoid, Lorentzian revolution hyperboloid and Lorentzian revolution paraboloid respectively

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we give geometric definitions of the Lorentzian ellipse, Lorentzian hyperbola, and Lorentzianparabola as plane curves in Lorentzian plane.
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Key Findings & Data:In this paper we give geometric definitions of the Lorentzian ellipse, Lorentzian hyperbola, and Lorentzianparabola as plane curves in Lorentzian plane.
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Conclusion & Impact:Moreover we obtain the equations of Lorentzian revolutionellipsoid, Lorentzian revolution hyperboloid and Lorentzian revolution paraboloid respectively
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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

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Cite This Article

GÖZÜTOK, A. Ç., GÜNDOĞAN, H., KARAKUŞ, S. Ö. (2022). Conics and Quadrics in Lorentzian Space. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 1, 58–63. https://ajindex.com/articles/578871

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References (1)

  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.