2-DEJENERATE BERTRAND CURVES IN MINKOWSKI SPACETIME
Year 2012,
Volume: 5 Issue: 2, 1 - 9, 30.10.2012
Mehmet Göçmen
Sadik Keleş
Abstract
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)
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Publishers, Singapore, (2000).
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Space- time, Geometriae Dedicata, 114, 71-78, (2005).
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(2003).
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Year 2012,
Volume: 5 Issue: 2, 1 - 9, 30.10.2012
Mehmet Göçmen
Sadik Keleş
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.