Published November 27, 2009
| Version 2333
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On the Differential Geometry of the Curves in Minkowski Space-Time II
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In the first part of this paper [6], a method to
determine Frenet apparatus of the space-like curves in Minkowski
space-time is presented. In this work, the mentioned method is
developed for the time-like curves in Minkowski space-time.
Additionally, an example of presented method is illustrated.
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References
- C. Camci, K. Ilarslan and E. Sucurovic, "On pseudohyperbolical curves in Minkowski space-time". Turk J.Math. vol. 27, pp. 315-328, 2003.
- B. O'Neill, Semi-Riemannian Geometry, Academic Press, New York, 1983.
- A. Ma─ƒden, "Characterizations of Some Special Curves in E 4 " Ph.D. dissertation, Dept. Math, Atat├╝rk Univ., Erzurum, Turkey, 1990.
- J. Walrave, "Curves and surfaces in Minkowski space" Ph.D. dissertation, K. U. Leuven, Fac. of Science, Leuven 1995.
- S. Yilmaz. "Spherical Indicators of curves and characterizations of some special curves in four dimensional Lorentzian space L4 " Ph.D. dissertation, Dept. Math, Dokuz Eyl├╝l Univ., ─░zmir, Turkey, 2001.
- S. Yilmaz and M. Turgut, "On the differential geometry of the curves in Minkowski space-time I". Int. J. Contemp. Math. Sci. vol.3 no. 27 pp. 1343-1349, 2008.