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arXiv · 1201.2194

Connection preserving actions are topologically engaging

A. Candel·R. Quiroga-Barranco
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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.

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A. Candel, R. Quiroga-Barranco. 2012-01-10. Connection preserving actions are topologically engaging. https://arxiv.org/abs/1201.2194

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