Connection preserving actions are topologically engaging
Differential Geometry
2012-01-12 v1
Abstract
Topologically and geometrically engaging actions have proved to be useful to obtain rigidity results for semisimple Lie group actions. We show that the action of a simple noncompact Lie group on a compact manifold preserving a unimodular rigid geometric structure of algebraic type (e.g. a connection together with a volume density) is topologically engaging on an open conull dense set.
Cite
@article{arxiv.1201.2194,
title = {Connection preserving actions are topologically engaging},
author = {A. Candel and R. Quiroga-Barranco},
journal= {arXiv preprint arXiv:1201.2194},
year = {2012}
}