Non-homogeneous locally free actions of the affine group
Dynamical Systems
2011-10-21 v4 Geometric Topology
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.
Keywords
Cite
@article{arxiv.math/0702833,
title = {Non-homogeneous locally free actions of the affine group},
author = {Masayuki Asaoka},
journal= {arXiv preprint arXiv:math/0702833},
year = {2011}
}
Comments
20 pages, no figure