Collapsed 5-manifolds with pinched positive sectional curvature
| dc.creator | Fang, Fuquan | |
| dc.creator | Rong, Xiaochun | |
| dc.date | 2006-08-31 | |
| dc.date.accessioned | 2026-07-07T07:22:22Z | |
| dc.date.available | 2026-07-07T07:22:22Z | |
| dc.description | Let M be a closed 5-manifold of pinched curvature 0<δ\le \text{sec}_M\le 1. We prove that M is homeomorphic to a spherical space form if M satisfies one of the following conditions: (i) δ=1/4 and the fundamental group is a non-cyclic group of order at least C, a constant. (ii) The center of the fundamental group has index at least w(δ), a constant depending on δ. (iii) The ratio of the volume and the maximal injectivity radius is less than ε(δ). (iv) The volume is less than ε(δ) and the fundamental group π_1(M) has a center of index at least w, a universal constant, and π_1(M) is either isomorphic to a spherical 5-space group or has an odd order. | |
| dc.description | 41 pages | |
| dc.identifier | https://arxiv.org/abs/math/0608778 | |
| dc.identifier | http://arxiv.org/abs/math/0608778 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115637 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.title | Collapsed 5-manifolds with pinched positive sectional curvature | |
| dc.type | text |