Rigidité d'Einstein du plan hyperbolique complexe
| dc.creator | Rollin, Yann | |
| dc.date | 2001-12-11 | |
| dc.date | 2002-05-02 | |
| dc.date.accessioned | 2026-07-07T04:45:09Z | |
| dc.date.available | 2026-07-07T04:45:09Z | |
| dc.description | We prove that every Einstein metric on the unit ball B^4 of C^2, asymptotic to the Bergman metric, is equal to it up to a diffeomorphism. We need a solution of Seiberg--Witten equations in this infinite volume setting. Therefore, and more generally, if M^4 is a manifold with a CR-boundary at infinity, an adapted spinc-structure which has a non zero Kronheimer--Mrowka invariant and an asymptotically complex hyperbolic Einstein metric, we produce a solution of Seiberg--Witten equations with an strong exponential decay property. | |
| dc.description | 31 pages, french text, some typos corrected. Proof of the result announced in CR. Acad. Sci. Paris. Ser. I 334 (2002) 671-676 | |
| dc.identifier | https://arxiv.org/abs/math/0112099 | |
| dc.identifier | http://arxiv.org/abs/math/0112099 | |
| dc.identifier | J. reine angew. Math. 567 (2004) 175-213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62861 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20; 53C24 ; 58J37; 58J60 | |
| dc.title | Rigidité d'Einstein du plan hyperbolique complexe | |
| dc.type | text |