Pseudo-Riemannian geodesics and billiards
| dc.creator | Khesin, B. | |
| dc.creator | Tabachnikov, S. | |
| dc.date | 2006-08-24 | |
| dc.date | 2009-02-24 | |
| dc.date.accessioned | 2026-07-07T12:45:39Z | |
| dc.date.available | 2026-07-07T12:45:39Z | |
| dc.description | Many classical facts in Riemannian geometry have their pseudo-Riemannian analogs. For instance, the spaces of space-like and time-like geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while the space of light-like geodesics has a natural contact structure. We discuss the geometry of these structures in detail, as well as introduce and study pseudo-Euclidean billiards. In particular, we prove pseudo-Euclidean analogs of the Jacobi-Chasles theorems and show the integrability of the billiard in the ellipsoid and the geodesic flow on the ellipsoid in a pseudo-Euclidean space. | |
| dc.description | title abbreviated, text edited; to appear in Advances in Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0608620 | |
| dc.identifier | http://arxiv.org/abs/math/0608620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221158 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Pseudo-Riemannian geodesics and billiards | |
| dc.type | text |