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arXiv · 1005.5342

Linearization of Cohomology-free Vector Fields

Livio Flaminio·Miguel Paternain
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Abstract

We study the cohomological equation for a smooth vector field on a compact manifold. We show that if the vector field is cohomology free, then it can be embedded continuously in a linear flow on an Abelian group.

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Livio Flaminio, Miguel Paternain. 2010-05-28. Linearization of Cohomology-free Vector Fields. https://doi.org/10.3934/dcds.2011.29.1031

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