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Dynamics of quasi-isometric foliations.
- Source :
-
Nonlinearity . Jun2012, Vol. 25 Issue 6, p1585-1599. 15p. - Publication Year :
- 2012
-
Abstract
- If the stable, centre and unstable foliations of a partially hyperbolic system are quasi-isometric, the system has Global Product Structure. This result also applies to Anosov systems and to other invariant splittings. If a partially hyperbolic system on a manifold with an abelian fundamental group has quasi-isometric stable and unstable foliations, the centre foliation is without holonomy. If, further, the system has Global Product Structure, then all centre leaves are homeomorphic. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09517715
- Volume :
- 25
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Nonlinearity
- Publication Type :
- Academic Journal
- Accession number :
- 78944167
- Full Text :
- https://doi.org/10.1088/0951-7715/25/6/1585