Conics and Quadrics in Lorentzian Space

Ayşe Çiçek Gözütok; Sıddıka Özkaldı Karakuş; Halit Gündoğan

doi:10.36753/mathenot.421759

EN

Conics and Quadrics in Lorentzian Space

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

[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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ayşe Çiçek Gözütok

Sıddıka Özkaldı Karakuş

Halit Gündoğan

Publication Date

April 27, 2018

Submission Date

October 25, 2017

Acceptance Date

-

Published in Issue

Year 2018 Volume: 6 Number: 1

DOI

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

IZ

https://izlik.org/JA77AM32YP

APA

Gözütok, A. Ç., Karakuş, S. Ö., & Gündoğan, H. (2018). Conics and Quadrics in Lorentzian Space. Mathematical Sciences and Applications E-Notes, 6(1), 58-63. https://doi.org/10.36753/mathenot.421759

AMA

1.Gözütok AÇ, Karakuş SÖ, Gündoğan H. Conics and Quadrics in Lorentzian Space. Math. Sci. Appl. E-Notes. 2018;6(1):58-63. doi:10.36753/mathenot.421759

Chicago

Gözütok, Ayşe Çiçek, Sıddıka Özkaldı Karakuş, and Halit Gündoğan. 2018. “Conics and Quadrics in Lorentzian Space”. Mathematical Sciences and Applications E-Notes 6 (1): 58-63. https://doi.org/10.36753/mathenot.421759.

EndNote

Gözütok AÇ, Karakuş SÖ, Gündoğan H (April 1, 2018) Conics and Quadrics in Lorentzian Space. Mathematical Sciences and Applications E-Notes 6 1 58–63.

IEEE

[1]A. Ç. Gözütok, S. Ö. Karakuş, and H. Gündoğan, “Conics and Quadrics in Lorentzian Space”, Math. Sci. Appl. E-Notes, vol. 6, no. 1, pp. 58–63, Apr. 2018, doi: 10.36753/mathenot.421759.

ISNAD

Gözütok, Ayşe Çiçek - Karakuş, Sıddıka Özkaldı - Gündoğan, Halit. “Conics and Quadrics in Lorentzian Space”. Mathematical Sciences and Applications E-Notes 6/1 (April 1, 2018): 58-63. https://doi.org/10.36753/mathenot.421759.

JAMA

1.Gözütok AÇ, Karakuş SÖ, Gündoğan H. Conics and Quadrics in Lorentzian Space. Math. Sci. Appl. E-Notes. 2018;6:58–63.

MLA

Gözütok, Ayşe Çiçek, et al. “Conics and Quadrics in Lorentzian Space”. Mathematical Sciences and Applications E-Notes, vol. 6, no. 1, Apr. 2018, pp. 58-63, doi:10.36753/mathenot.421759.

Vancouver

1.Ayşe Çiçek Gözütok, Sıddıka Özkaldı Karakuş, Halit Gündoğan. Conics and Quadrics in Lorentzian Space. Math. Sci. Appl. E-Notes. 2018 Apr. 1;6(1):58-63. doi:10.36753/mathenot.421759