About complex structures in conformal tractor calculus
| dc.creator | Leitner, Felipe | |
| dc.date | 2005-10-28 | |
| dc.date | 2005-10-31 | |
| dc.date.accessioned | 2026-07-07T06:48:04Z | |
| dc.date.available | 2026-07-07T06:48:04Z | |
| dc.description | The aim of this paper is to describe the geometry of conformal structures in Lorentzian signature, which admit a lightlike conformal Killing vector field whose corresponding adjoint tractor acts as complex structure on the standard tractor bundle of conformal geometry. Key to the treatment of this problem is CR-geometry and the Fefferman construction. In fact, we will consider here partially integrable CR-structures and a slightly generalised Fefferman construction for these, which we call the $\ell$-Fefferman construction. We show that a certain class of $\ell$-Fefferman metrics on partially integrable CR-spaces provides all solutions to our problem concerning the complex structures. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510637 | |
| dc.identifier | http://arxiv.org/abs/math/0510637 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103865 | |
| dc.subject | Differential Geometry | |
| dc.subject | 32V05; 53A30; 53B15; 53B30; 53C15 | |
| dc.title | About complex structures in conformal tractor calculus | |
| dc.type | text |