On the geometry of the space of oriented lines of the hyperbolic space
| dc.creator | Salvai, Marcos | |
| dc.date | 2007-02-13 | |
| dc.date.accessioned | 2026-07-07T07:46:40Z | |
| dc.date.available | 2026-07-07T07:46:40Z | |
| dc.description | Let H be the n-dimensional hyperbolic space of constant sectional curvature -1 and let G be the identity component of the isometry group of H. We find all the G-invariant pseudo-Riemannian metrics on the space OG_n of oriented geodesics of H (modulo orientation preserving reparametrizations). We characterize the null, time- and space-like curves, providing a relationship between the geometries of OG_n and H. Moreover, we show that OG_3 is Kähler and find an orthogonal almost complex structure on OG_7. | |
| dc.description | Communicated at ICM 2006. Submitted to Glasgow Math. J. on November 3, 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0702365 | |
| dc.identifier | http://arxiv.org/abs/math/0702365 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123904 | |
| dc.subject | Differential Geometry | |
| dc.title | On the geometry of the space of oriented lines of the hyperbolic space | |
| dc.type | text |