Geodesic
SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE-TIME
Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 111 .

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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.
DOI : 10.2298/PIM0999111I
Classification : 53C50 53C40
Keywords: Minkowski space-time, normal curve, curvature 
@article{10_2298_PIM0999111I,
     author = {Kazim \.Ilarslan and Emilija Ne\v{s}ovi\'c},
     title = {SPACELIKE {AND} {TIMELIKE} {NORMAL} {CURVES} {IN} {MINKOWSKI} {SPACE-TIME}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {111 },
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     volume = {_N_S_85},
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     year = {2009},
     doi = {10.2298/PIM0999111I},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0999111I/}
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Kazim İlarslan; Emilija Nešović. SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE-TIME. Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 111 . doi : 10.2298/PIM0999111I. http://geodesic.mathdoc.fr/articles/10.2298/PIM0999111I/

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