On the topology of conformally compact Einstein 4-manifolds
| dc.creator | Chang, Alice | |
| dc.creator | Qing, Jie | |
| dc.creator | Yang, Paul | |
| dc.date | 2003-05-06 | |
| dc.date | 2003-05-23 | |
| dc.date.accessioned | 2026-07-07T04:57:47Z | |
| dc.date.available | 2026-07-07T04:57:47Z | |
| dc.description | In this paper we study the topology of conformally compact Einstein 4-manifolds. When the conformal infinity has positive Yamabe invariant and the renormalized volume is also positive we show that the conformally compact Einstein 4-manifold will have at most finite fundamental group. Under the further assumption that the renormalized volume is relatively large, we conclude that the conformally compact Einstein 4-manifold is diffeomorphic to $B^4$ and its conformal infinity is diffeomorphic to $S^3$. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305085 | |
| dc.identifier | http://arxiv.org/abs/math/0305085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67382 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C25, 53C80, 58J60 | |
| dc.title | On the topology of conformally compact Einstein 4-manifolds | |
| dc.type | text |