Research Article
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2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME

Year 2012, Volume: 5 Issue: 2, 1 - 9, 30.10.2012

Mehmet Göçmen Sadik Keleş

Abstract


Keywords

2-Degenerate curve Cartan curve (1;2)-Bertrand curve

References

  • [1] Aminov, Yu. A., Differential Geometry And Topology Of Curves, Gordon And Breach Science Publishers, Singapore, (2000).
  • [2] Çöken, A. C. and C¸ ift¸ci U¨ ., On The Cartan Curvatures Of A Null Curve In Minkowski Space- time, Geometriae Dedicata, 114, 71-78, (2005).
  • [3] Duggal, K. L., Jin, D. H., Null Curves And Hypersurfaces Of Semi-Riemannian Manifolds, World Science, (2007).
  • [4] Ferrandez, A.,Gimenez, A., Lucas, P., s-Degenerate Curves In Lorentzian Space Forms, Jour- nal Of Geometry And Physics, 45, 116-129, (2003).
  • [5] Ferrandez, A., Gimenez, A., Lucas, P., Null Helices In Loentzian Space Forms, International Journal Of Modern Physics. A., 16, 4845-4863, (2001).
  • [6] Ferrandez, A., Gimenez, A., Lucas, P., Degenerate Curves In Pseudo-Euclidean Spaces Of Index Two, Third International Conference On Geometry, Integrability And Quantization, Coral Press, Sofia, (2001).
  • [7] Matsuda, H., Yorozu, S., Notes On Bertrand Curves, Yokohoma Mathematical Journal, 50, 41-58, (2003).
  • [8] Millman, R. S., Parker, G. D., Elements Of Differential Geometry, Prentice-Hall, Inc. Engle- wood Cliffs, New Jersey, (1977).
  • [9] O’neill, B., Semi-Riemannian Geometry, Academic Press, New York, (1983).

Year 2012, Volume: 5 Issue: 2, 1 - 9, 30.10.2012

Mehmet Göçmen Sadik Keleş

Abstract

References

  • [1] Aminov, Yu. A., Differential Geometry And Topology Of Curves, Gordon And Breach Science Publishers, Singapore, (2000).
  • [2] Çöken, A. C. and C¸ ift¸ci U¨ ., On The Cartan Curvatures Of A Null Curve In Minkowski Space- time, Geometriae Dedicata, 114, 71-78, (2005).
  • [3] Duggal, K. L., Jin, D. H., Null Curves And Hypersurfaces Of Semi-Riemannian Manifolds, World Science, (2007).
  • [4] Ferrandez, A.,Gimenez, A., Lucas, P., s-Degenerate Curves In Lorentzian Space Forms, Jour- nal Of Geometry And Physics, 45, 116-129, (2003).
  • [5] Ferrandez, A., Gimenez, A., Lucas, P., Null Helices In Loentzian Space Forms, International Journal Of Modern Physics. A., 16, 4845-4863, (2001).
  • [6] Ferrandez, A., Gimenez, A., Lucas, P., Degenerate Curves In Pseudo-Euclidean Spaces Of Index Two, Third International Conference On Geometry, Integrability And Quantization, Coral Press, Sofia, (2001).
  • [7] Matsuda, H., Yorozu, S., Notes On Bertrand Curves, Yokohoma Mathematical Journal, 50, 41-58, (2003).
  • [8] Millman, R. S., Parker, G. D., Elements Of Differential Geometry, Prentice-Hall, Inc. Engle- wood Cliffs, New Jersey, (1977).
  • [9] O’neill, B., Semi-Riemannian Geometry, Academic Press, New York, (1983).
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Mehmet Göçmen

Sadik Keleş

Publication Date October 30, 2012
Published in Issue Year 2012 Volume: 5 Issue: 2

Cite

APA Göçmen, M., & Keleş, S. (2012). 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. International Electronic Journal of Geometry, 5(2), 1-9.
AMA Göçmen M, Keleş S. 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. Int. Electron. J. Geom. October 2012;5(2):1-9.
Chicago Göçmen, Mehmet, and Sadik Keleş. “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”. International Electronic Journal of Geometry 5, no. 2 (October 2012): 1-9.
EndNote Göçmen M, Keleş S (October 1, 2012) 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. International Electronic Journal of Geometry 5 2 1–9.
IEEE M. Göçmen and S. Keleş, “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”, Int. Electron. J. Geom., vol. 5, no. 2, pp. 1–9, 2012.
ISNAD Göçmen, Mehmet - Keleş, Sadik. “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”. International Electronic Journal of Geometry 5/2 (October 2012), 1-9.
JAMA Göçmen M, Keleş S. 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. Int. Electron. J. Geom. 2012;5:1–9.
MLA Göçmen, Mehmet and Sadik Keleş. “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”. International Electronic Journal of Geometry, vol. 5, no. 2, 2012, pp. 1-9.
Vancouver Göçmen M, Keleş S. 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. Int. Electron. J. Geom. 2012;5(2):1-9.