CR Invariant powers of the sub-Laplacian
| dc.creator | Gover, A. Rod | |
| dc.creator | Graham, C. Robin | |
| dc.date | 2003-01-09 | |
| dc.date.accessioned | 2026-07-07T04:54:21Z | |
| dc.date.available | 2026-07-07T04:54:21Z | |
| dc.description | CR invariant differential operators on densities with leading part a power of the sub-Laplacian are derived. One family of such operators is constructed from the ``conformally invariant powers of the Laplacian'' via the Fefferman metric; the powers which arise for these operators are bounded in terms of the dimension. A second family is derived from a CR tractor calculus which is developed here; this family includes operators for every positive power of the sub-Laplacian. This result together with work of Cap, Slovak and Soucek imply in three dimensions the existence of a curved analogue of each such operator in flat space. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301092 | |
| dc.identifier | http://arxiv.org/abs/math/0301092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66218 | |
| dc.subject | Differential Geometry | |
| dc.subject | 32V05 (Primary) 53C07, 53B15 (Secondary) | |
| dc.title | CR Invariant powers of the sub-Laplacian | |
| dc.type | text |