Non-homogeneous locally free actions of the affine group

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.

arXiv comment20 pages, no figure

References in corpus (1)

• The Teichmüller space of an Anosov diffeomorphism of $T^2$

Cited by in corpus (1)

• Local rigidity of homogeoenous actions of parabolic subgroups of rank-one Lie groups