Denseness of ergodicity for a class of volume-preserving flows
type: Item
instance of: scholarly article
title: Denseness of ergodicity for a class of volume-preserving flows
zbMATH Open document ID: 1230.37045
DOI: 10.4171/PM/1878
author: Mário Bessa
author: Jorge Rocha
published in: Portugaliae Mathematica. Nova Série
publication date: 2011-04-27T00:00:00Z
review text: An approximation result is obtained in the sense that a certain class of smooth partially hyperbolic volume-preserving flows can be approximated by an ergodic \(C^2\) volume-preserving flow. This class can be characterized by a one-dimensional central direction endowed with the \(C^1\)-Whitney topology.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 37D30
Mathematics Subject Classification ID: 37D25
Mathematics Subject Classification ID: 37A99
zbMATH DE Number: 5881455
zbMATH Keywords: dominated splitting
zbMATH Keywords: partial hyperbolicity
zbMATH Keywords: volume-preserving flows
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: stable ergodicity
MaRDI profile type: Publication
cites work: Q5566243
cites work: A pasting lemma and some applications for conservative systems
cites work: On the regularization of conservative maps
cites work: Nonuniform center bunching and the genericity of ergodicity among $C^1$ partially hyperbolic symplectomorphisms
description: scientific article; zbMATH DE number 5881455