Integrability of C^1 invariant splittings
File(s)1408.6948v2.pdf (194.47 KB)
Accepted version
Author(s)
Luzzatto, S
Tureli, S
War, K
Type
Journal Article
Abstract
We derive some new conditions for integrability of dynamically defined C^1
invariant splittings in arbitrary dimension and co-dimension. In particular we
prove that every 2-dimensional C^1 invariant decomposition on a 3-dimensional
manifold satisfying a volume domination condition is uniquely integrable. In
the special case of volume preserving diffeomorphisms we show that standard
dynamical domination is already sufficient to guarantee unique integrability.
invariant splittings in arbitrary dimension and co-dimension. In particular we
prove that every 2-dimensional C^1 invariant decomposition on a 3-dimensional
manifold satisfying a volume domination condition is uniquely integrable. In
the special case of volume preserving diffeomorphisms we show that standard
dynamical domination is already sufficient to guarantee unique integrability.
Date Issued
2015-07-09
Date Acceptance
2015-05-30
Citation
Dynamical Systems - An International Journal, 2015, 31 (1), pp.79-88
ISSN
1468-9367
Publisher
Taylor & Francis
Start Page
79
End Page
88
Journal / Book Title
Dynamical Systems - An International Journal
Volume
31
Issue
1
Copyright Statement
© 2015 Taylor & Francis. This is an Author's Accepted Manuscript of an article published in [include the complete citation information for the final version of the article as published in Dynamical Systems: An International Journal (2014), available online at: http://www.tandfonline.com/10.1080/14689367.2015.1057480
Identifier
http://arxiv.org/abs/1408.6948v2
Subjects
Invariant splittings
Integrability
Frobenius theorem
Singular values
Notes
12 pages
Publication Status
Published