Non-homogeneous locally free actions of the affine group

Mathematics – Dynamical Systems

Scientific paper

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20 pages, no figure

Scientific paper

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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