Connection preserving actions are topologically engaging

Details Connection preserving actions are topologically engaging Connection preserving actions are topologically engaging

2012-01-10

arxiv.org/abs/1201.2194v1

Bol. Soc. Mat. Mexicana (3) 7 (2001), no. 2, 247-260

Mathematics

Differential Geometry

Scientific paper

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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