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September, 2001 Fuchsian Affine Actions of Surface Groups
FranÇois Labourie
J. Differential Geom. 59(1): 15-31 (September, 2001). DOI: 10.4310/jdg/1090349279


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.


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FranÇois Labourie. "Fuchsian Affine Actions of Surface Groups." J. Differential Geom. 59 (1) 15 - 31, September, 2001.


Published: September, 2001
First available in Project Euclid: 20 July 2004

zbMATH: 1037.57031
MathSciNet: MR1909247
Digital Object Identifier: 10.4310/jdg/1090349279

Rights: Copyright © 2001 Lehigh University

Vol.59 • No. 1 • September, 2001
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