Ergodic actions of semisimple Lie groups on compact principal bundles
| dc.creator | Witte, Dave | |
| dc.creator | Zimmer, Robert J. | |
| dc.date | 2002-05-30 | |
| dc.date.accessioned | 2026-07-07T04:48:48Z | |
| dc.date.available | 2026-07-07T04:48:48Z | |
| dc.description | Let G = SL(n,R) (or, more generally, let G be a connected, noncompact, simple Lie group). For any compact Lie group K, it is easy to find a compact manifold M, such that there is a volume-preserving, connection-preserving, ergodic action of G on some smooth, principal K-bundle P over M. Can M can be chosen independent of K? We show that if M = H/L is a homogeneous space, and the action of G on M is by translations, then P must also be a homogeneous space H'/L'. Consequently, there is a strong restriction on the groups K that can arise over this particular M. | |
| dc.description | 15 pages, Latex2e file, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0205323 | |
| dc.identifier | http://arxiv.org/abs/math/0205323 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64192 | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | Representation Theory | |
| dc.subject | 57S20; 22F50, 28D15 | |
| dc.title | Ergodic actions of semisimple Lie groups on compact principal bundles | |
| dc.type | text |