Affine connections on involutive G-structures
| dc.creator | Merkulov, Sergey A. | |
| dc.date | 1995-09-06 | |
| dc.date.accessioned | 2026-07-07T09:12:36Z | |
| dc.date.available | 2026-07-07T09:12:36Z | |
| dc.description | This paper is a review of the twistor theory of irreducible G-structures and affine connections. Long ago, Berger presented a very restricted list of possible irreducibly acting holonomies of torsion-free affine connections. His list was complete in the part of metric connections, while the situation with holonomies of non-metric torsion-free affine connections was and remains rather unclear. One of the results discussed in this review asserts that any torsion-free holomorphic affine connection with irreducibly acting holonomy group can, in principle, be constructed by twistor methods. Another result reveals a new natural subclass of affine connections with "very little torsion" which shares with the class of torsion-free affine connections two basic properties --- the list of irreducibly acting holonomy groups of affine connections in this subclass is very restricted and the links with the twistor theory are again very strong. | |
| dc.description | 13 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9509001 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9509001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152073 | |
| dc.subject | Differential Geometry | |
| dc.title | Affine connections on involutive G-structures | |
| dc.type | text |