Self-dual Einstein Hermitian four manifolds
| dc.creator | Apostolov, Vestislav | |
| dc.creator | Gauduchon, Paul | |
| dc.date | 2000-03-25 | |
| dc.date | 2000-08-07 | |
| dc.date.accessioned | 2026-07-07T04:34:26Z | |
| dc.date.available | 2026-07-07T04:34:26Z | |
| dc.description | We provide a local classification of self-dual Einstein Riemannian four manifolds admitting a positively oriented Hermitian structure and characterize those which carry a hyperhermitian, non-hyperkählerian structure compatible with the negative orientation. We finally show that self-dual Einstein 4-manifolds obtained as quaternionic quotients of the Wolf spaces ${\mathbb H}P^2$, ${\mathbb H}H^2$, $SU(4)/S(U(2)U(2))$, and $SU(2,2)/S(U(2)U(2))$ are always Hermitian. | |
| dc.description | More typos corrected, 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0003162 | |
| dc.identifier | http://arxiv.org/abs/math/0003162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58901 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B35; 53C55 | |
| dc.title | Self-dual Einstein Hermitian four manifolds | |
| dc.type | text |