Publications de l'Institut Mathématique, Nouvelle SérieVol. 85(99), pp. 111–118 (2009)
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Publications de l'Institut Mathématique, Nouvelle Série Vol. 85(99), pp. 111–118 (2009) |
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SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE-TIMEKazim Ilarslan and Emilija NesovicKirikkale University, Faculty of Sciences and Arts, Department of Mathematics, Kirikkale, Turkey and University of Kragujevac, Faculty of Science, Department of Mathematics and Informatics,34000 Kragujevac, SerbiaAbstract: We define normal curves in Minkowski space-time $E^4_1$. In particular, we characterize the spacelike normal curves in $E^4_1$ whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in $E^4_1$, in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures. Keywords: Minkowski space-time, normal curve, curvature Classification (MSC2000): 53C50; 53C40 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 23 Apr 2009. This page was last modified: 22 Oct 2009.
© 2009 Mathematical Institute of the Serbian Academy of Science and Arts
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