Abstract
Let λq be the irreducible representation of SL(2, ℝ) in SL(q, ℝ). Define a Fuchsian subgroup of SL(q, ℝ) to be a subgroup conjugate to a discrete subgroup of λq(SL(2, ℝ)). We prove in this paper that the fundamental group of a compact surface does not act properly on the affine space by affine tranformations if its linear part is Fuchsian.
Citation
FranÇois Labourie. "Fuchsian Affine Actions of Surface Groups." J. Differential Geom. 59 (1) 15 - 31, September, 2001. https://doi.org/10.4310/jdg/1090349279
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