SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE-TIME
Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 111
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
53C50 53C40
Keywords: Minkowski space-time, normal curve, curvature
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 },
year = {2009},
volume = {_N_S_85},
number = {99},
doi = {10.2298/PIM0999111I},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0999111I/}
}
TY - JOUR AU - Kazim İlarslan AU - Emilija Nešović TI - SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE-TIME JO - Publications de l'Institut Mathématique PY - 2009 SP - 111 VL - _N_S_85 IS - 99 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM0999111I/ DO - 10.2298/PIM0999111I LA - en ID - 10_2298_PIM0999111I ER -
%0 Journal Article %A Kazim İlarslan %A Emilija Nešović %T SPACELIKE AND TIMELIKE NORMAL CURVES IN MINKOWSKI SPACE-TIME %J Publications de l'Institut Mathématique %D 2009 %P 111 %V _N_S_85 %N 99 %U http://geodesic.mathdoc.fr/articles/10.2298/PIM0999111I/ %R 10.2298/PIM0999111I %G en %F 10_2298_PIM0999111I
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
Cité par Sources :