Solvability of the cohomological equatio
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Roberto De Leo
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Article
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2010
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Springer
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English
β 420 KB
We consider planar vector fields without zeroes ΞΎ and study the image of the associated Lie derivative operators L ΞΎ acting on the space of smooth functions. We show that the cokernel of L ΞΎ is infinite-dimensional as soon as ΞΎ is not topologically conjugate to a constant vector field and that, if t