A characterization of round spheres in terms of blocking light
| dc.creator | Schmidt, Benjamin | |
| dc.creator | Souto, Juan | |
| dc.date | 2007-04-27 | |
| dc.date | 2008-03-14 | |
| dc.date.accessioned | 2026-07-07T09:26:28Z | |
| dc.date.available | 2026-07-07T09:26:28Z | |
| dc.description | A closed Riemannian manifold is said to have cross blocking if whenever distinct points p and q are at distance less than the diameter, all light rays from p can be shaded away from q with at most two point shades. Similarly, a closed Riemannian manifold is said to have sphere blocking if for each point p, all the light rays from p are shaded away from p by a single point shade. We prove that Riemannian manifolds with cross and sphere blocking are isometric to round spheres. | |
| dc.description | Replaced a theorem from an earlier version with a reference and added a new theorem | |
| dc.identifier | https://arxiv.org/abs/0704.3642 | |
| dc.identifier | http://arxiv.org/abs/0704.3642 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156764 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.title | A characterization of round spheres in terms of blocking light | |
| dc.type | text |