Twisted connected sums and special Riemannian holonomy
| dc.creator | Kovalev, Alexei | |
| dc.date | 2000-12-19 | |
| dc.date | 2003-07-10 | |
| dc.date.accessioned | 2026-07-07T04:39:19Z | |
| dc.date.available | 2026-07-07T04:39:19Z | |
| dc.description | We give a new, connected-sum-like construction of Riemannian metrics with special holonomy G_2 on compact 7-manifolds. The construction is based on a gluing theorem for appropriate elliptic partial differential equations. As a prerequisite, we also obtain asymptotically cylindrical Riemannian manifolds with holonomy SU(3) building up on the work of Tian and Yau. Examples of new topological types of compact 7-manifolds with holonomy G_2 are constructed using Fano 3-folds. | |
| dc.description | 35 pages; v2: some technical corrections and clarifications, more general and systematic treatment of the examples; v3: technical corrections; v4: final version, error corrected in the fundamental group calculations in examples | |
| dc.identifier | https://arxiv.org/abs/math/0012189 | |
| dc.identifier | http://arxiv.org/abs/math/0012189 | |
| dc.identifier | J. Reine Angew. Math. 565 (2003), 125--160 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60613 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C25 (Primary); 53C21, 58J60 (Secondary) | |
| dc.title | Twisted connected sums and special Riemannian holonomy | |
| dc.type | text |