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arXiv · 0809.4862

The cohomological equation for partially hyperbolic diffeomorphisms

Amie Wilkinson
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Abstract

We establish a theory for the existence and regularity of solutions to the cohomological equation over an accessible, partially hyperbolic diffeomorphism. As a by-product of our techniques, we show that for $r>1$, any $C^r$ homogeneous, locally compact submanifold of a $C^r$ manifold is in fact a $C^r$ submanifold.

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Amie Wilkinson. 2008-09-29. The cohomological equation for partially hyperbolic diffeomorphisms. https://arxiv.org/abs/0809.4862

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