A Fourth Order Curvature Flow on a CR 3-manifold
| dc.creator | Chang, Shu-Cheng | |
| dc.creator | Cheng, Jih-Hsin | |
| dc.creator | Chiu, Hung-Lin | |
| dc.date | 2005-10-24 | |
| dc.date.accessioned | 2026-07-07T09:32:04Z | |
| dc.date.available | 2026-07-07T09:32:04Z | |
| dc.description | Let $(\mathbf{M}^{3},J,θ_{0})$ be a closed pseudohermitian 3-manifold. Suppose the associated torsion vanishes and the associated $Q$-curvature has no kernel part with respect to the associated Paneitz operator. On such a background pseudohermitian 3-manifold, we study the change of the contact form according to a certain version of normalized $Q$-curvature flow. This is a fourth order evolution equation. We prove that the solution exists for all time and converges smoothly to a contact form of zero $Q$ -curvature. We also consider other background conditions and obtain a priori bounds up to high orders for the solution. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510494 | |
| dc.identifier | http://arxiv.org/abs/math/0510494 | |
| dc.identifier | Indiana Univ. Math. J., 56 (2007) 1793-1826. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158681 | |
| dc.subject | Differential Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 32V20; 53C44 | |
| dc.title | A Fourth Order Curvature Flow on a CR 3-manifold | |
| dc.type | text |