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arXiv · 1410.8072

Integrability of dominated decompositions on three-dimensional manifolds

Stefano Luzzatto·Sina Tureli·Khadim War
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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.

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Stefano Luzzatto, Sina Tureli, Khadim War. 2015-05-26. Integrability of dominated decompositions on three-dimensional manifolds. https://doi.org/10.1017/etds.2015.64

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