Flows of Spin(7)-structures
| dc.creator | Karigiannis, Spiro | |
| dc.date | 2007-09-28 | |
| dc.date | 2007-10-03 | |
| dc.date.accessioned | 2026-07-07T12:28:29Z | |
| dc.date.available | 2026-07-07T12:28:29Z | |
| dc.description | We consider flows of Spin(7)-structures. We use local coordinates to describe the torsion tensor of a Spin(7)-structure and derive the evolution equations for a general flow of a Spin(7)-structure on an 8-manifold M. Specifically, we compute the evolution of the metric and the torsion tensor. We also give an explicit description of the decomposition of the space of forms on a manifold with Spin(7)-structure, and derive an analogue of the second Bianchi identity in Spin(7)-geometry. This identity yields an explicit formula for the Ricci tensor and part of the Riemann curvature tensor in terms of the torsion. | |
| dc.description | 12 pages. Based on a talk given at the 10th International Conference on Differential Geometry and its Applications, in honour of the 300th anniversary of the birth of Leonhard Euler, Czech Republic. Version 2: Added one remark and one reference | |
| dc.identifier | https://arxiv.org/abs/0709.4594 | |
| dc.identifier | http://arxiv.org/abs/0709.4594 | |
| dc.identifier | Proceedings of the 10th Conference on Differential Geometry and its Applications: DGA 2007; World Scientific Publishing, (2008), 263-277. | |
| dc.identifier | doi:10.1142/9789812790613_0023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215558 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | Flows of Spin(7)-structures | |
| dc.type | text |