Integrability of dominated decompositions on three-dimensional manifolds
  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. 
Stefano Luzzatto, Sina Tureli, Khadim War
math.DS