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Non-homogeneous locally free actions of the affine group

We classify smooth locally free actions of the real affine group on closed orientable three-dimensional manifolds up to smooth conjugacy. As a corollary, there exists a non-homogeneous action when the manifold is the unit tangent bundle of a closed surface with a hyperbolic metric.

preprint2011arXivOpen access
Masayuki Asaoka
math.DSmath.GT
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Masayuki Asaoka

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