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2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME

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

Mehmet Göçmen Sadik Keleş

Öz


Anahtar Kelimeler

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

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

Mehmet Göçmen Sadik Keleş

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

Sadik Keleş

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.