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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: 3

Abstract

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.

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: 3

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.
There are 4 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Ayşe Çiçek Gözütok

Sıddıka Özkaldı Karakuş

Halit Gündoğan

Publication Date April 27, 2018
Submission Date October 25, 2017
Published in Issue Year 2018 Volume: 6 Issue: 1

Cite

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 Gözütok AÇ, Karakuş SÖ, Gündoğan H. Conics and Quadrics in Lorentzian Space. Math. Sci. Appl. E-Notes. April 2018;6(1):58-63. doi:10.36753/mathenot.421759
Chicago Gözütok, Ayşe Çiçek, Sıddıka Özkaldı Karakuş, and Halit Gündoğan. “Conics and Quadrics in Lorentzian Space”. Mathematical Sciences and Applications E-Notes 6, no. 1 (April 2018): 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 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, 2018, doi: 10.36753/mathenot.421759.
ISNAD Gözütok, Ayşe Çiçek et al. “Conics and Quadrics in Lorentzian Space”. Mathematical Sciences and Applications E-Notes 6/1 (April 2018), 58-63. https://doi.org/10.36753/mathenot.421759.
JAMA 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, 2018, pp. 58-63, doi:10.36753/mathenot.421759.
Vancouver Gözütok AÇ, Karakuş SÖ, Gündoğan H. Conics and Quadrics in Lorentzian Space. Math. Sci. Appl. E-Notes. 2018;6(1):58-63.

Cited By

On Spatial Mechanisms in Lorentzian 3-Space
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Structure equations and constraint manifolds on Lorentz plane
Mathematical Methods in the Applied Sciences
https://doi.org/10.1002/mma.5275
On Constraint Manifolds of Lorentz Sphere
Analele Universitatii "Ovidius" Constanta - Seria Matematica
https://doi.org/10.2478/auom-2020-0017
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