Livšic Theorems for Non-Commutative Groups including Diffeomorphism Groups and Results on the Existence of Conformal Structures for Anosov Systems
| dc.creator | de la Llave, Rafael | |
| dc.creator | Windsor, Alistair | |
| dc.date | 2007-11-20 | |
| dc.date | 2007-11-22 | |
| dc.date.accessioned | 2026-07-07T08:44:12Z | |
| dc.date.available | 2026-07-07T08:44:12Z | |
| dc.description | The celebrated Livsic theorem states that given M a manifold, a Lie group G, a transitive Anosov diffeomorphism f on M and a Holder function η: M \mapsto G whose range is sufficiently close to the identity, it is sufficient for the existence of ϕ:M \mapsto G satisfying η(x) = ϕ(f(x)) ϕ(x)^{-1} that a condition -- obviously necessary -- on the cocycle generated by ηrestricted to periodic orbits is satisfied. In this paper we present a new proof of the main result. These methods allow us to treat cocycles taking values in the group of diffeomorphisms of a compact manifold. This has applications to rigidity theory. The localization procedure we develop can be applied to obtain some new results on the existence of conformal structures for Anosov systems. | |
| dc.description | Replaced 11/22 to fix problems with references in previously uploaded versions. No other changes | |
| dc.identifier | https://arxiv.org/abs/0711.3229 | |
| dc.identifier | http://arxiv.org/abs/0711.3229 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142574 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C40 | |
| dc.title | Livšic Theorems for Non-Commutative Groups including Diffeomorphism Groups and Results on the Existence of Conformal Structures for Anosov Systems | |
| dc.type | text |