Deformations of asymptotically cylindrical G_2 manifolds
| dc.creator | Nordström, Johannes | |
| dc.date | 2007-05-30 | |
| dc.date | 2009-03-11 | |
| dc.date.accessioned | 2026-07-07T12:50:41Z | |
| dc.date.available | 2026-07-07T12:50:41Z | |
| dc.description | We prove that for a 7-dimensional manifold M with cylindrical ends the moduli space of exponentially asymptotically cylindrical torsion-free G_2 structures is a smooth manifold (if non-empty), and study some of its local properties. We also show that the holonomy of the induced metric of an exponentially asymptotically cylindrical G_2 manifold M is exactly G_2 if and only if its fundamental group is finite and neither M nor any double cover of M is homeomorphic to a cylinder. | |
| dc.description | 31 pages, corrected proof of proposition 6.23 | |
| dc.identifier | https://arxiv.org/abs/0705.4444 | |
| dc.identifier | http://arxiv.org/abs/0705.4444 | |
| dc.identifier | Math. Proc. Camb. Phil. Soc. 145 (2008) 311-348 | |
| dc.identifier | doi:10.1017/S0305004108001333 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222754 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25 | |
| dc.title | Deformations of asymptotically cylindrical G_2 manifolds | |
| dc.type | text |