Q-Curvature and Poincare Metrics
| dc.creator | Fefferman, Charles | |
| dc.creator | Graham, C. Robin | |
| dc.date | 2001-10-24 | |
| dc.date.accessioned | 2026-07-07T04:44:04Z | |
| dc.date.available | 2026-07-07T04:44:04Z | |
| dc.description | This article presents a new definition of Branson's Q-curvature in even-dimensional conformal geometry. We derive the Q-curvature as a coefficient in the asymptotic expansion of the formal solution of a boundary problem at infinity for the Laplacian in the Poincare metric associated to the conformal structure. This gives an easy proof of the result of Graham-Zworski that the log coefficient in the volume expansion of a Poincare metric is a multiple of the integral of the Q-curvature, and leads to a definition of a non-local version of the Q-curvature in odd dimensions. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110271 | |
| dc.identifier | http://arxiv.org/abs/math/0110271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62485 | |
| dc.subject | Differential Geometry | |
| dc.title | Q-Curvature and Poincare Metrics | |
| dc.type | text |