Kähler manifolds and fundamental groups of negatively $δ$-pinched manifolds
| dc.creator | Jost, Juergen | |
| dc.creator | Yang, Yihu | |
| dc.date | 2003-12-07 | |
| dc.date.accessioned | 2026-07-07T05:03:37Z | |
| dc.date.available | 2026-07-07T05:03:37Z | |
| dc.description | The fundamental group of a Riemannian manifold with $δ$-pinched negative curvature, $δ>1/4$, cannot be the fundamental group of a quasicompact Kähler manifold. The proof also implies that a non-uniform lattice in $F_{4(-20)}$ cannot be the fundamental group of a quasicompact Kähler manifold. We also construct examples in the spirit of Gromov-Thurston to show that our result is a non-trivial extension of the previously known result that a non-uniform lattice in real hyperbolic space in dimension at least 3 cannot be the fundamental group of a quasicompact Kähler manifold. | |
| dc.description | Version with additional supplementary material to appear in Intern.J.Math | |
| dc.identifier | https://arxiv.org/abs/math/0312143 | |
| dc.identifier | http://arxiv.org/abs/math/0312143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69496 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E20, 58E20 | |
| dc.title | Kähler manifolds and fundamental groups of negatively $δ$-pinched manifolds | |
| dc.type | text |