k-type null slant helices in Minkowski space-time

Nešović, Emilija; Koç Öztürk, Esra Betül; Öztürk, Ufuk

Nešović, Emilija ; Koç Öztürk, Esra Betül ; Öztürk, Ufuk

Mathematical Communications, Tome 20 (2015) no. 1, p. 83-95 / Harvested from Mathematical Communications

Text on Mathematical Communications

Résumé

In this paper, we introduce a notion of a

$k$ -type null slant helices inMinkowski space-time, where

$k\in \{0,1,2,3\}$ . We give the necessary andsufficient conditions for null Cartan curves to be

$k$ -type null slanthelices in terms of their curvatures

$\kappa _{2}$ and

$\kappa _{3}$ . Inparticular, we characterize

$k$ -type null slant helices lying inpseudosphere

$S^{3}_{1}(r)$ . We find the relationships between

$0$ -type and

$%1$ -type null slant helices, as well as between

$1$ -type and

$2$ -type nullslant helices. Moreover, we prove that there are no

$3$ -type null slanthelices in Minkowski space-time.

Publié le : 2015-05-26
Classification: null Cartan curve; k-type null slant helix; Minkowski space-time, 53C40; 53C50

@article{mc860,
     author = {Ne\v sovi\'c, Emilija and Ko\c c \"Ozt\"urk, Esra Bet\"ul and \"Ozt\"urk, Ufuk},
     title = {k-type null slant helices in Minkowski space-time},
     journal = {Mathematical Communications},
     volume = {20},
     number = {1},
     year = {2015},
     pages = { 83-95},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc860}
}

Nešović, Emilija; Koç Öztürk, Esra Betül; Öztürk, Ufuk. k-type null slant helices in Minkowski space-time. Mathematical Communications, Tome 20 (2015) no. 1, pp.  83-95. http://gdmltest.u-ga.fr/item/mc860/