On Blocking Numbers of Surfaces
| dc.creator | Ho, Wing Kai | |
| dc.date | 2008-07-18 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T09:58:23Z | |
| dc.date.available | 2026-07-07T09:58:23Z | |
| dc.description | The blocking number of a manifold is the minimal number of points needed to block out lights between any two given points in the manifold. It has been conjectured that if the blocking number of a manifold is finite, then the manifold must be flat. In this paper we prove that this is true for 2-dimensional manifolds with non-trivial fundamental groups. | |
| dc.description | This is a very preliminary version of a paper about blocking numbers of compact Riemannian surfaces, the aim is to show that if the blocking number is finite, then the surface has to be flat. edit: similar results for 2-dimensional torus have been obtained by V. Bangert and E. Gutkin, reference to their paper has been added v3: minor changes with the references | |
| dc.identifier | https://arxiv.org/abs/0807.2934 | |
| dc.identifier | http://arxiv.org/abs/0807.2934 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/167696 | |
| dc.subject | Differential Geometry | |
| dc.subject | 52C22 | |
| dc.title | On Blocking Numbers of Surfaces | |
| dc.type | text |