CENTER MANIFOLDS FOR PARTIALLY HYPERBOLIC SETS WITHOUT STRONG UNSTABLE CONNECTIONS

We consider compact sets which are invariant and partially hyperbolic under the dynamics of a diffeomorphism of a manifold. We prove that such a set $K$ is contained in a locally invariant center submanifold if and only if each strong stable and strong unstable leaf intersects $K$ at exactly one poi...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Journal of the Institute of Mathematics of Jussieu 2016-10, Vol.15 (4), p.785-828
Hauptverfasser:	Bonatti, Christian, Crovisier, Sylvain
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamics Invariants Joints Manifolds Mathematical analysis Mathematics Theoretical mathematics Topological manifolds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!