Linearization of Cohomology-free Vector Fields
classification
🧮 math.DS
keywords
vectorfieldabeliancohomologicalcohomologycohomology-freecompactcontinuously
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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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