Characteristic classes as obstructions to local homogeneity
Abstract
This note is an extended version of my presentation at the "Focused Research Workshop on Exterior Dierential Systems and Lie Theory" held at the Fields Institute in Toronto, December 9-13, 2013. Some ideas and constructions of this note crystallized during my communication with Anthony D. Blaom. I am deeply grateful to him and also to P.J. Olver for his constant help and encouragement.
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