Details

Autor(en) / Beteiligte

• Bonatti, Christian
• Crovisier, Sylvain

Titel

CENTER MANIFOLDS FOR PARTIALLY HYPERBOLIC SETS WITHOUT STRONG UNSTABLE CONNECTIONS

Ist Teil von

• Journal of the Institute of Mathematics of Jussieu, 2016-10, Vol.15 (4), p.785-828

Ort / Verlag

Cambridge, UK: Cambridge University Press

Erscheinungsjahr

2016

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 point.