Stable forms and special metrics
| dc.creator | Hitchin, Nigel | |
| dc.date | 2001-07-13 | |
| dc.date.accessioned | 2026-07-07T04:42:36Z | |
| dc.date.available | 2026-07-07T04:42:36Z | |
| dc.description | We show how certain diffeomorphism-invariant functionals on differential forms in dimensions 6,7 and 8 generate in a natural way special geometrical structures in these dimensions: metrics of holonomy G2 and Spin(7), metrics with weak holonomy SU(3) and G2, and a new and unexplored example in dimension 8. The general formalism becomes a practical tool for calculating homogeneous or cohomogeneity one examples, and we illustrate this with some newly discovered cases of Spin(7) and G2 metrics. | |
| dc.description | Submitted to the ``Proceedings of the Congress in memory of Alfred Gray", (eds M. Fernandez and J. Wolf), AMS Contemporary Mathematics Series | |
| dc.identifier | https://arxiv.org/abs/math/0107101 | |
| dc.identifier | http://arxiv.org/abs/math/0107101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61848 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25, 53C10 | |
| dc.title | Stable forms and special metrics | |
| dc.type | text |