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Non-homogeneous locally free actions of the affine group

Masayuki Asaoka
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Abstract

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.

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Masayuki Asaoka. 2007-02-27. Non-homogeneous locally free actions of the affine group. https://arxiv.org/abs/math/0702833

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