Izvorni znanstveni članak

k-type null slant helices in Minkowski space-time

Emilija Nešović orcid.org/0000-0003-3600-0486 ; Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Esra Betül Koç Öztürk orcid.org/0000-0002-9437-3443 ; Department Mathematics, Faculty of Science, University of Cankiri Karatekin, Cankiri, Turkey
Ufuk Öztürk orcid.org/0000-0002-8800-7869 ; Department Mathematics, Faculty of Science, University of Cankiri Karatekin, Cankiri, Turkey

Sažetak

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.

Ključne riječi

null Cartan curve; k-type null slant helix; Minkowski space-time

Hrčak ID:

140389

URI

https://hrcak.srce.hr/140389

Datum izdavanja:

1.7.2015.

Posjeta: 1.094 *