Null-geodesics in complex conformal manifolds and the LeBrun correspondence
| dc.creator | Belgun, F. A. | |
| dc.date | 2000-02-26 | |
| dc.date.accessioned | 2026-07-07T04:34:05Z | |
| dc.date.available | 2026-07-07T04:34:05Z | |
| dc.description | In the complex-Riemannian framework we show that a conformal manifold containing a compact, simply-connected, null-geodesic is conformally flat. In dimension 3 we use the LeBrun correspondence, that views a conformal 3-manifold as the conformal infinity of a selfdual four-manifolds. We also find a relation between the conformal invariants of the conformal infinity and its ambient. | |
| dc.description | 17 pages, 1 figure, part of the paper is contained in (an old version of) the paper math.DG/0002029 | |
| dc.identifier | https://arxiv.org/abs/math/0002225 | |
| dc.identifier | http://arxiv.org/abs/math/0002225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58769 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C21, 53A30, 53C56 (Primary) 53A55, 53B20, 53C12 (Secondary) | |
| dc.title | Null-geodesics in complex conformal manifolds and the LeBrun correspondence | |
| dc.type | text |