On a conformal gap and finiteness theorem for a class of four manifolds
| dc.creator | Chang, Alice | |
| dc.creator | Qing, Jie | |
| dc.creator | Yang, Paul | |
| dc.date | 2005-08-30 | |
| dc.date | 2006-08-29 | |
| dc.date.accessioned | 2026-07-07T06:42:52Z | |
| dc.date.available | 2026-07-07T06:42:52Z | |
| dc.description | In this paper we develop a bubble tree structure for a degenerating class of Riemannian metrics satisfying some global conformal bounds on compact manifolds of dimension 4. Applying the bubble tree structure, we establish a gap theorem, a finiteness theorem for diffeomorphism type for this class, and a diameter bound for a family of conformal metricssatisfying a suitable curvature equation. | |
| dc.description | a new Section 6. 34 pages. to appear in GAFA | |
| dc.identifier | https://arxiv.org/abs/math/0508621 | |
| dc.identifier | http://arxiv.org/abs/math/0508621 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102206 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 53C21; 35J60 | |
| dc.title | On a conformal gap and finiteness theorem for a class of four manifolds | |
| dc.type | text |