Calibrated Submanifolds of R^7 and R^8 with Symmetries
| dc.creator | Lotay, Jason | |
| dc.date | 2006-01-31 | |
| dc.date | 2007-01-16 | |
| dc.date.accessioned | 2026-07-07T09:24:26Z | |
| dc.date.available | 2026-07-07T09:24:26Z | |
| dc.description | The principal theory of this paper comprises a technique for constructing associative, coassociative and Cayley submanifolds of Euclidean space with symmetries, using first-order ordinary differential equations. Explicit examples of U(1)-invariant associative cones in R^7 and SU(2)-invariant Cayley 4-folds in R^8 are then produced using this method. Further examples of associative 3-folds are presented, which are ruled, and other systems of differential equations defining calibrated submanifolds in R^7 and R^8 are given. | |
| dc.description | 21 pages, minor corrections, section added containing further systems of differential equations defining calibrated submanifolds | |
| dc.identifier | https://arxiv.org/abs/math/0601764 | |
| dc.identifier | http://arxiv.org/abs/math/0601764 | |
| dc.identifier | Q J Math, March 2007; 58: 53 - 70. | |
| dc.identifier | doi:10.1093/qmath/hal015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156094 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C38 | |
| dc.title | Calibrated Submanifolds of R^7 and R^8 with Symmetries | |
| dc.type | text |