Izvorni znanstveni članak

Geodesics and geodesic spheres in {$\stackrel{\mathbf{~}}{\mathbf{SL}\mathbf{(}\mathbf{2}\mathbf{,}\mathbb{R}\mathbf{)}}$} geometry

Blaženka Divjak orcid.org/0000-0003-0649-3267 ; Faculty of Organization and Informatics, University of Zagreb, Varaždin, Croatia
Zlatko Erjavec ; Faculty of Organization and Informatics, University of Zagreb, Varaždin, Croatia
Barnabás Szabolcs ; Department of Geometry, Budapest University of Technology and Economics,Budapest, Hungary
Brigitta Szilágyi ; Department of Geometry, Budapest University of Technology and Economics,Budapest, Hungary

Sažetak

In this paper geodesics and geodesic spheres in { $\widetilde{SL(2,\mathbb{R})}$} geometry are considered. Exact solutions of ODE system that describes geodesics are obtained and discussed, geodesic spheres are determined and visualization of { $\widetilde{SL(2,\mathbb{R})}$} geometry is given as well.

Ključne riječi

$\widetilde{SL(2; \mathbb{R})}$ geometry; geodesics; geodesic sphere

Hrčak ID:

44033

URI

https://hrcak.srce.hr/44033

Datum izdavanja:

9.12.2009.

Posjeta: 2.566 *