Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3
| dc.creator | Biquard, Olivier | |
| dc.creator | Herzlich, Marc | |
| dc.creator | Rumin, Michel | |
| dc.date | 2005-06-13 | |
| dc.date.accessioned | 2026-07-07T05:20:41Z | |
| dc.date.available | 2026-07-07T05:20:41Z | |
| dc.description | We relate a recently introduced non-local geometric invariant of compact strictly pseudoconvex Cauchy-Riemann (CR) manifolds of dimension 3 to various eta-invariants in CR geometry: on the one hand a renormalized eta-invariant appearing when considering a sequence of metrics converging to the CR structure by expanding the size of the Reeb field; on the other hand the eta-invariant of the middle degree operator of the contact complex. We then provide explicit computations for a class of examples: transverse circle invariant CR structures on Seifert manifolds. Applications are given to the problem of filling a CR manifold by a complex hyperbolic manifold, and more generally by a Kahler-Einstein or an Einstein metric. | |
| dc.identifier | https://arxiv.org/abs/math/0506228 | |
| dc.identifier | http://arxiv.org/abs/math/0506228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75466 | |
| dc.subject | Differential Geometry | |
| dc.subject | 32V05; 32V20; 53C20; 58J28 | |
| dc.title | Diabatic Limit, Eta Invariants and Cauchy-Riemann Manifolds of Dimension 3 | |
| dc.type | text |