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Integrability of dominated decompositions on three-dimensional manifolds

  • STEFANO LUZZATTO (a1), SİNA TÜRELİ (a1) (a2) and KHADIM WAR (a1) (a2)
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.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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