A Burns-Epstein invariant for ACHE 4-manifolds
| dc.creator | Biquard, Olivier | |
| dc.creator | Herzlich, Marc | |
| dc.date | 2001-11-20 | |
| dc.date | 2002-10-04 | |
| dc.date.accessioned | 2026-07-07T04:44:41Z | |
| dc.date.available | 2026-07-07T04:44:41Z | |
| dc.description | We define a renormalized characteristic class for Einstein asymptotically complex hyperbolic (ACHE) manifolds of dimension 4: for any such manifold, the polynomial in the curvature associated to the characteristic class euler-3signature is shown to converge. This extends a work of Burns and Epstein in the Kahler-Einstein case. This extends a work of Burns and Epstein in the Kahler-Einstein case. We also define a new global invariant for any 3-dimensional pseudoconvex CR manifold, by a renormalization procedure of the eta invariant of a sequence of metrics which approximate the CR structure. Finally, we get a formula relating the renormalized characteristic class to the topological number euler-3signature and the invariant of the CR structure arising at infinity. | |
| dc.description | Lemma 2.6 changed because of a mistake. Section 5 (using lemma 2.6) rewritten | |
| dc.identifier | https://arxiv.org/abs/math/0111218 | |
| dc.identifier | http://arxiv.org/abs/math/0111218 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62691 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C55; 58J37; 58J60 | |
| dc.title | A Burns-Epstein invariant for ACHE 4-manifolds | |
| dc.type | text |