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

Voir la notice de l'article provenant de 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.
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 },
     publisher = {mathdoc},
     volume = {_N_S_85},
     number = {99},
     year = {2009},
     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
PB  - mathdoc
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
%I mathdoc
%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 :