Almost Hermitian Structures and Quaternionic Geometries
| dc.creator | Cabrera, Francisco Martin | |
| dc.creator | Swann, Andrew | |
| dc.date | 2003-07-09 | |
| dc.date.accessioned | 2026-07-07T04:59:32Z | |
| dc.date.available | 2026-07-07T04:59:32Z | |
| dc.description | Gray & Hervella gave a classification of almost Hermitian structures (g,I) into 16 classes. We systematically study the interaction between these classes when one has an almost hyper-Hermitian structure (g,I,J,K). In general dimension we find at most 167 different almost hyper-Hermitian structures. In particular, we obtain a number of relations that give hyperKäher or locally conformal hyperKähler structures, thus generalising a result of Hitchin. We also study the types of almost quaternion-Hermitian geometries that arise and tabulate the results. | |
| dc.description | 22 pages, 5 tables | |
| dc.identifier | https://arxiv.org/abs/math/0307118 | |
| dc.identifier | http://arxiv.org/abs/math/0307118 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68019 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25; 53C15, 53C10 | |
| dc.title | Almost Hermitian Structures and Quaternionic Geometries | |
| dc.type | text |