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2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME

Yıl 2012, Cilt: 5 Sayı: 2, 1 - 9, 30.10.2012

Öz


Kaynakça

  • [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).
Yıl 2012, Cilt: 5 Sayı: 2, 1 - 9, 30.10.2012

Öz

Kaynakça

  • [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).
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Mehmet Göçmen Bu kişi benim

Sadik Keleş Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 5 Sayı: 2

Kaynak Göster

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. Ekim 2012;5(2):1-9.
Chicago Göçmen, Mehmet, ve Sadik Keleş. “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”. International Electronic Journal of Geometry 5, sy. 2 (Ekim 2012): 1-9.
EndNote Göçmen M, Keleş S (01 Ekim 2012) 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. International Electronic Journal of Geometry 5 2 1–9.
IEEE M. Göçmen ve S. Keleş, “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”, Int. Electron. J. Geom., c. 5, sy. 2, ss. 1–9, 2012.
ISNAD Göçmen, Mehmet - Keleş, Sadik. “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”. International Electronic Journal of Geometry 5/2 (Ekim 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 ve Sadik Keleş. “2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME”. International Electronic Journal of Geometry, c. 5, sy. 2, 2012, ss. 1-9.
Vancouver Göçmen M, Keleş S. 2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME. Int. Electron. J. Geom. 2012;5(2):1-9.