SOME CHARACTERIZATIONS OF PSEUDO AND PARTIALLY NULL OSCULATING CURVES IN MINKOWSKI SPACE-TIME

Year 2011, Volume: 4 Issue: 2, 1 - 12, 30.10.2011

Kazım İlarslan Emilija Nešović

Abstract

Keywords

Minkowski space-time, osculating curve, pseudo null curve, partially null curve

References

• [1] Bonnor, W. B., Curves with null normals in Minkowski space-time. A random walk in rela- tivity and cosmology, Wiley Easten Limitid, 33-47 (1985).
• [2] Chen, B. Y., When does the position vector of a space curve always lie in its rectifying plane?,Amer. Math. Monthly, 110, 147-152 (2003).
• [3] İlarslan, K. and Nešović, E.,Timelike and null normal curves in Minkowski space E3, Indian J. pure appl. Math. , 35(7), 881–888 (2004).
• [4] İlarslan, , K. and Nešović, E., Spacelike and timelike normal curves in Minkowski space-time, Publ. Inst. Math. Belgrade , 85(99), 111-118 (2009).
• [5] İlarslan, , K. and Nešović, E., Some characterizations of osculating curves in the euclidean spaces, Demonstratio Mathematica, XLI(4), 931-939 (2008).
• [6] İlarslan, , K. and Nešović, E., The first kind and the second kind osculating curves in Minkowski space-time, Compt. rend. Acad. bulg. Sci., 62(6), 677-686 (2009).
• [7] İlarslan, , K. and Nešović, E., Some charactherizations of null, pseudo null and partially null rectifying curves in Minkowski space-time, Taiwanese J. Math., 12(5), 1035-1044 (2008).
• [8] O’Neill, B., Semi-Riemannian geometry with applications to relativity, Academic Press, New York, (1983).
• [9] Walrave, J., Curves and surfaces in Minkowski space, Doctoral thesis, K. U. Leuven, Fac. of ce, Leuven, (1995).