Connectedness at infinity of complete Kähler manifolds and locally symmetric spaces
| dc.creator | Li, Peter | |
| dc.creator | Wang, Jiaping | |
| dc.date | 2007-01-30 | |
| dc.date | 2007-02-14 | |
| dc.date.accessioned | 2026-07-07T07:46:38Z | |
| dc.date.available | 2026-07-07T07:46:38Z | |
| dc.description | One of the main purposes of this paper is to prove that on a complete Kähler manifold of dimension $m$, if the holomorphic bisectional curvature is bounded from below by -1 and the minimum spectrum $λ_1(M) \ge m^2$, then it must either be connected at infinity or diffeomorphic to $\Bbb R \times N$, where $N$ is a compact quotient of the Heisenberg group. Similar type results are also proven for irreducible, locally symmetric spaces of noncompact type. Generalizations to complete Kähler manifolds satisfying a weighted Poincaré inequality are also being considered | |
| dc.identifier | https://arxiv.org/abs/math/0701865 | |
| dc.identifier | http://arxiv.org/abs/math/0701865 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123892 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58J90 | |
| dc.title | Connectedness at infinity of complete Kähler manifolds and locally symmetric spaces | |
| dc.type | text |