Fuchsian groups and compact hyperbolic surfaces

  • Yves Benoist

    Université Paris-Sud, Orsay, France
  • Hee Oh

    Yale University, New Haven, USA and Korea Institute for Advanced Study, Seoul, Korea
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Abstract

We present a topological proof of the following theorem of Benoist-Quint: for a finitely generated non-elementary discrete subgroup of PSL with no parabolics, and for a cocompact lattice of PSL, any orbit on \ PSL is either finite or dense.

Cite this article

Yves Benoist, Hee Oh, Fuchsian groups and compact hyperbolic surfaces. Enseign. Math. 62 (2016), no. 1/2, pp. 189–198

DOI 10.4171/LEM/62-1/2-11