Integrability of dominated decompositions on three-dimensional manifolds

Abstract

We investigate the integrability of 2-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.

15 pages

References in corpus (3)

• Classification of partially hyperbolic diffeomorphisms in 3-manifolds with solvable fundamental group
• A non-dynamically coherent example on ${\mathbb{T}}^3$
• Integrability of dominated decompositions on three-dimensional manifolds

Cited by in corpus (2)

• Partial hyperbolicity and classification: a survey
• Integrability of dominated decompositions on three-dimensional manifolds