The double torus as a 2D cosmos: groups, geometry and closed geodesics
| dc.creator | Kramer, P. | |
| dc.creator | Lorente, M. | |
| dc.date | 2004-01-26 | |
| dc.date.accessioned | 2026-07-07T10:48:14Z | |
| dc.date.available | 2026-07-07T10:48:14Z | |
| dc.description | The double torus provides a relativistic model for a closed 2D cosmos with topology of genus 2 and constant negative curvature. Its unfolding into an octagon extends to an octagonal tessellation of its universal covering, the hyperbolic space H^2. The tessellation is analysed with tools from hyperbolic crystallography. Actions on H^2 of groups/subgroups are identified for SU(1, 1), for a hyperbolic Coxeter group acting also on SU(1, 1), and for the homotopy group Φ_2 whose extension is normal in the Coxeter group. Closed geodesics arise from links on H^2 between octagon centres. The direction and length of the shortest closed geodesics is computed. | |
| dc.description | Latex, 27 pages, 5 figures (late submission to arxiv.org) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0401101 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0401101 | |
| dc.identifier | J.Phys.A35:1961-1981,2002 | |
| dc.identifier | doi:10.1088/0305-4470/35/8/312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/183806 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The double torus as a 2D cosmos: groups, geometry and closed geodesics | |
| dc.type | text |