Nonhomogeneous 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 nonhomogeneous action when the manifold is the unit tangent bundle of a closed surface with a hyperbolic metric.


Masayuki Asaoka

Department of Mathematics
Kyoto University
Kyoto 606-8502