Does anyone know of any online pdf lectures on affine manifolds? I'm interested in compact affine manifolds. Specifically, I'm looking for specific examples of compact affine manifolds where the affine charts are specified.
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3Google the work of William Goldman. He has lecture notes on affine manifolds, among other things. All affine structures on the $2$-torus have been classified by Benzecri and Kuiper. See also this post. – Dietrich Burde Mar 21 '21 at 20:32
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2Just beat me to it Dietrich --- Bill and I were in college together, and he's been interested in these since the late 1970s! – John Hughes Mar 21 '21 at 21:24