%0 Journal Article %J Ergodic Theory and Dynamical Systems %D 2017 %T Integrability of dominated decompositions on three-dimensional manifolds %A Stefano Luzzatto %A Sina Türeli %A Khadim Mbacke War %X


We investigate the integrability of two-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.

%B Ergodic Theory and Dynamical Systems %I Cambridge University Press %V 37 %P 606–620 %G eng %R 10.1017/etds.2015.64