Publications de l'Institut Mathématique, Nouvelle Série Vol. 85(99), pp. 111–118 (2009) 

SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACETIMEKazim 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 spacetime $E^4_1$. In particular, we characterize the spacelike normal curves in $E^4_1$ whose Frenet frame contains only nonnull 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 spacetime, 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.
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