Izvorni znanstveni članak
Geodesics and geodesic spheres in {$\mathbf{\widetilde{SL(2,\mathbb{R})}}$} 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
Datum izdavanja:
9.12.2009.
Posjeta: 2.007 *