Nonrigidity of hyperbolic surfaces laminations
HTML articles powered by AMS MathViewer
- by Bertrand Deroin PDF
- Proc. Amer. Math. Soc. 135 (2007), 873-881 Request permission
Abstract:
In this paper we prove infinite dimensionality of the Teichmüller space of a hyperbolic Riemann surface lamination of a compact space having a simply connected leaf.References
- Alberto Candel, Uniformization of surface laminations, Ann. Sci. École Norm. Sup. (4) 26 (1993), no. 4, 489–516. MR 1235439
- Étienne Ghys, Laminations par surfaces de Riemann, Dynamique et géométrie complexes (Lyon, 1997) Panor. Synthèses, vol. 8, Soc. Math. France, Paris, 1999, pp. ix, xi, 49–95 (French, with English and French summaries). MR 1760843
- H. Poincaré. Sur les fonctions fuchsiennes. Acta Math. 1 (1882), pp. 193-294.
- Dennis Sullivan, Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors-Bers, Topological methods in modern mathematics (Stony Brook, NY, 1991) Publish or Perish, Houston, TX, 1993, pp. 543–564. MR 1215976
- Alberto Verjovsky, A uniformization theorem for holomorphic foliations, The Lefschetz centennial conference, Part III (Mexico City, 1984) Contemp. Math., vol. 58, Amer. Math. Soc., Providence, RI, 1987, pp. 233–253. MR 893869
Additional Information
- Bertrand Deroin
- Affiliation: Laboratoire de Mathématiques, Université Paris-Sud-Bât 425, 91405 Orsay Cedex, CNRS UMR 8628, France
- MR Author ID: 727583
- Email: Bertrand.Deroin@math.u-psud.fr
- Received by editor(s): October 12, 2004
- Published electronically: October 19, 2006
- Additional Notes: The author acknowledges support from the Swiss National Science Foundation
- Communicated by: Linda Keen
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 873-881
- MSC (2000): Primary 57R30; Secondary 30Fxx
- DOI: https://doi.org/10.1090/S0002-9939-06-08579-0
- MathSciNet review: 2262885