Branson's Q-curvature in Riemannian and Spin Geometry
| dc.creator | Hijazi, Oussama | |
| dc.creator | Raulot, Simon | |
| dc.date | 2007-09-04 | |
| dc.date | 2008-02-06 | |
| dc.date.accessioned | 2026-07-07T09:27:26Z | |
| dc.date.available | 2026-07-07T09:27:26Z | |
| dc.description | On a closed 4-dimensional Riemannian manifold, we give a lower bound for the square of the first eigenvalue of the Yamabe operator in terms of the total Branson's Q-curvature. As a consequence, if the manifold is spin, we relate the first eigenvalue of the Dirac operator to the total Branson's Q-curvature. On a closed n-dimensional manifold, $n\ge 5$, we compare the three basic conformally covariant operators : the Branson-Paneitz, the Yamabe and the Dirac operator (if the manifold is spin) through their first eigenvalues. Equality cases are also characterized. | |
| dc.description | 14 pages, Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson | |
| dc.identifier | https://arxiv.org/abs/0709.0345 | |
| dc.identifier | http://arxiv.org/abs/0709.0345 | |
| dc.identifier | Symmetry, Integrability and Geometry: Methods and Applications 3, 119 (2007) 11 pages | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157100 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C20; 53C27; 58J50 | |
| dc.title | Branson's Q-curvature in Riemannian and Spin Geometry | |
| dc.type | text |