Geodesic
On generalized partially null Mannheim curves in Minkowski space-time
Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1.

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In this paper we define generalized partially null and pseudo null Mannheim curves in Minkowski space-time $E^{4}_{1}$. We prove that there are no non-geodesic generalized partially null Mannheim curves in $E^{4}_{1}$, by considering the cases when the corresponding mate curve is a spacelike, timelike, null Cartan, partially null or pseudo null Frenet curve. We also answer the question: "Can a partially null Frenet curve be a generalized mate curve of the generalized pseudo null Mannheim curve in Minkowski space-time?"
Publié le :
DOI : 10.30755/NSJOM.02641
Classification : 53C50, 53C40
Keywords: generalized Mannheim curves, partially null curves, Minkowski space-time 
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     author = {Milica Grbovi\'c and Emilija Ne\v{s}ovi\'c},
     title = {On generalized  partially null {Mannheim} curves
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     journal = {Novi Sad Journal of Mathematics},
     pages = {159 - 170},
     publisher = {mathdoc},
     volume = {46},
     number = {1},
     year = {2016},
     doi = {10.30755/NSJOM.02641},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02641/}
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Milica Grbović; Emilija Nešović. On generalized  partially null Mannheim curves
in Minkowski  space-time. Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1. doi : 10.30755/NSJOM.02641. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02641/

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