| Title | Integrability of dominated decompositions on three-dimensional manifolds |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | Luzzatto, S, Türeli, S, War, KMbacke |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 37 |
| Pagination | 606–620 |
| Abstract | 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. |
| DOI | 10.1017/etds.2015.64 |
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