The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open

 

Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Awduron: Backes, Lucas Henrique, Poletti, Mauricio, Sánchez Chavarría, Adriana Cristina
Fformat: artículo original
Dyddiad Cyhoeddi:2018
Disgrifiad:We prove that the set of fiber-bunched SL(2, R)-valued Hölder cocycles with nonvanishing Lyapunov exponents over a volume preserving, accessible and center-bunched partially hyperbolic diffeomorphism is open. Moreover, we present an example showing that this is no longer true if we do not assume accessibility in the base dynamics.
Gwlad:Kérwá
Sefydliad:Universidad de Costa Rica
Repositorio:Kérwá
Iaith:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/85384
Mynediad Ar-lein:https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0025/0006/a002/index.php?mode=ns
https://hdl.handle.net/10669/85384
Allweddair:Lyapunov exponents
Partially hyperbolic systems
Linear cocyles