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arXiv · 1408.6948

Integrability of C^1 invariant splittings

Stefano Luzzatto·Sina Tureli·Khadim War
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Abstract

We derive some new conditions for integrability of dynamically defined C^1 invariant splittings in arbitrary dimension and co-dimension. In particular we prove that every 2-dimensional C^1 invariant decomposition on a 3-dimensional manifold satisfying a volume domination condition is uniquely integrable. In the special case of volume preserving diffeomorphisms we show that standard dynamical domination is already sufficient to guarantee unique integrability.

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Stefano Luzzatto, Sina Tureli, Khadim War. 2014-08-29. Integrability of C^1 invariant splittings. https://arxiv.org/abs/1408.6948

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