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ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE
Abstract
In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D 3 1, and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D 3 1.
Keywords
References
- Ayyildiz, N., C¸ ¨oken, A. C. and Y¨ucesan, A. A characterization of dual Lorentzian spherical curves in the dual Lorentzian space, Taiwanese J. Math. 11 (4), 999–1018, 2007.
- Ayyildiz, N., C¸ ¨oken, A. C. and Y¨ucesan, A. On the dual Darboux rotation axis of the space- like dual space curve. Demonstratio Math. 37 (1), 197–202, 2004.
- C¸ ¨oken, A. C. and G¨org¨ul¨u, A. On the dual Darboux rotation axis of the dual space curve, Demonstratio Math. 35 (2), 385–390, 2002. do Carmo, M. P. Differential Geometry of Curves and Surfaces (Prentice-Hall, Inc., Engel- wood Cliffs, N. J., 1976).
- Guggenheimer, W. Differential Geometry (McGraw-Hill, New York, 1963).
- Hacısaliho˘glu, H. H. On the pitch of a closed ruled surface, Mech. Mach. Theory 7 (3), –305, 1972.
- K¨ose, ¨O., Nizamo˘glu, S¸. and Sezer, M. An explicit characterization of dual spherical curves, Do˘ga Mat. 12 (3), 105–113, 1988.
- Kuhnel, W. Differential Geometry: Curves-Surfaces-Manifolds (Braunschweig, Wiesbaden, ). Liu, H. and Wang, F. Mannheim partner curves in 3-space, J. Geom. 88, 120–126, 2008.
- O’Neill, B. Semi-Riemannian Geometry with Applications to Relativity (Academic Press, London, 1983).
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
May 1, 2011
Submission Date
May 11, 2014
Acceptance Date
-
Published in Issue
Year 2011 Volume: 40 Number: 5
APA
Özkaldı, S., İlarslan, K., & Yaylı, Y. (2011). ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE. Hacettepe Journal of Mathematics and Statistics, 40(5), 649-661. https://izlik.org/JA36LH39NT
AMA
1.Özkaldı S, İlarslan K, Yaylı Y. ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE. Hacettepe Journal of Mathematics and Statistics. 2011;40(5):649-661. https://izlik.org/JA36LH39NT
Chicago
Özkaldı, Sıddıka, Kazım İlarslan, and Yusuf Yaylı. 2011. “ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE”. Hacettepe Journal of Mathematics and Statistics 40 (5): 649-61. https://izlik.org/JA36LH39NT.
EndNote
Özkaldı S, İlarslan K, Yaylı Y (May 1, 2011) ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE. Hacettepe Journal of Mathematics and Statistics 40 5 649–661.
IEEE
[1]S. Özkaldı, K. İlarslan, and Y. Yaylı, “ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 5, pp. 649–661, May 2011, [Online]. Available: https://izlik.org/JA36LH39NT
ISNAD
Özkaldı, Sıddıka - İlarslan, Kazım - Yaylı, Yusuf. “ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE”. Hacettepe Journal of Mathematics and Statistics 40/5 (May 1, 2011): 649-661. https://izlik.org/JA36LH39NT.
JAMA
1.Özkaldı S, İlarslan K, Yaylı Y. ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE. Hacettepe Journal of Mathematics and Statistics. 2011;40:649–661.
MLA
Özkaldı, Sıddıka, et al. “ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 5, May 2011, pp. 649-61, https://izlik.org/JA36LH39NT.
Vancouver
1.Sıddıka Özkaldı, Kazım İlarslan, Yusuf Yaylı. ON MANNHEIM PARTNER CURVES IN DUAL LORENTZIAN SPACE. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 May 1;40(5):649-61. Available from: https://izlik.org/JA36LH39NT