Integrability of dominated decompositions on three-dimensional manifolds
File(s)1410.8072v3.pdf (207.45 KB)
Accepted version
Author(s)
Luzzatto, S
Tureli, S
WAR, K
Type
Journal Article
Abstract
We investigate the integrability of two-dimensional invariant distributions (tangent sub-bundles) which arise naturally in the context of dynamical systems on 3-manifolds. In particular, we prove unique integrability of dynamically dominated and volume-dominated Lipschitz continuous invariant decompositions as well as distributions with some other regularity conditions.
Date Issued
2016-02-11
Date Acceptance
2015-06-29
Citation
Ergodic Theory and Dynamical Systems, 2016, 37 (2), pp.606-620
ISSN
0143-3857
Publisher
Cambridge University Press
Start Page
606
End Page
620
Journal / Book Title
Ergodic Theory and Dynamical Systems
Volume
37
Issue
2
Copyright Statement
© Cambridge University Press, 2016. This paper has been accepted for publication and will appear in a revised form, subsequent to peer-review and/or editorial input by Cambridge University Press. Ergodic Theory and Dynamical Systems http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10186120&fileId=S0143385715000644
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
DYNAMICAL COHERENCE
3-MANIFOLDS
math.DS
0101 Pure Mathematics
General Mathematics
Publication Status
Published