Skip to main content
2 of 4
added 322 characters in body

History of the notion of $(G,X)$-structure

I'm currently searching for sources and historical basis on the notion of $(G,X)$-structure as it appears in Thurston's work.

So far, it appears that he was the first to set it. Many mathematicans cite Ehresmann's work, also I'm not sure to what precisely. It also seems that Kuiper (On compact conformally Euclidean spaces of dimension > 2, 1950) also had some ideas close to what we call a developing map, and related to the idea to put a structure on a manifold.

Maybe someone here already have made such researches, or could testify ?

Thanks

edit :

As requested, I specify a sense of $(G,X)$-structure. I mean by that a couple of $G$ a group (or pseudo-group if wanted) of analytic diffeomorphisms of $X$, a smooth analytic connected manifold.

The point is to have $(G,X)$-structure notion clean enough to get the pair of a developing and holonomy maps.