Great sphere foliations and manifolds with curvature bounded above
| dc.creator | Rovenskii, Vladimir Y. | |
| dc.creator | Toponogov, Victor A. | |
| dc.date | 1996-09-20 | |
| dc.date.accessioned | 2026-07-07T09:12:51Z | |
| dc.date.available | 2026-07-07T09:12:51Z | |
| dc.description | The survey is devoted to Toponogov's conjecture, that {\it if a complete simply connected Riemannian manifold with sectional curvature $\le 4$ and injectivity radius $\ge π/2$ has extremal diameter $π/2$, then it is isometric to CROSS}. In Section 1 the relations of problem with geodesic foliations of a round sphere are considered, but the proof of conjecture on this way is not complete. In Section 2 the proof based on recent results and methods for topology and volume of Blaschke manifolds is given. | |
| dc.description | AMS-TeX v 2.1, 13 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9609007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9609007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152165 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C12 (Primary) 53C20 (Secondary) | |
| dc.title | Great sphere foliations and manifolds with curvature bounded above | |
| dc.type | text |