English

Fuchsian affine actions of surface groups

Differential Geometry 2007-05-23 v1

Abstract

We define a fuchsian affine action of a surface group to be such that the linear part factors through a representation of SL(2,R)SL(2,{\mathbb R}). We prove a fuchsian affine action of a surface group is never proper.

Cite

@article{arxiv.math/0005255,
  title  = {Fuchsian affine actions of surface groups},
  author = {Francois Labourie},
  journal= {arXiv preprint arXiv:math/0005255},
  year   = {2007}
}