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Nonrigidity of hyperbolic surfaces laminations
Author(s):
Bertrand
Deroin
Journal:
Proc. Amer. Math. Soc.
135
(2007),
873-881.
MSC (2000):
Primary 57R30;
Secondary 30Fxx
Posted:
October 19, 2006
MathSciNet review:
2262885
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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:
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- A. CANDEL. Uniformization of surface laminations. Ann. Sci. École Norm. Sup.(4) 26 (1993), no.4, pp. 489-516. MR 1235439 (94f:57025)
- [Gh]
- É. GHYS. Laminations par surfaces de Riemann. Panor. Synthèses 8 (1999), pp. 49-95. MR 1760843 (2001g:37068)
- [Po]
- H. POINCARÉ. Sur les fonctions fuchsiennes. Acta Math. 1 (1882), pp. 193-294.
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- D. SULLIVAN. Linking the universalities of Milnor-Thurston, Feigenbaum and Ahlfors-Bers. Topological methods in modern mathematics, (Stony Brook, NY, 1991), pp. 543-564. MR 1215976 (94c:58060)
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- A. VERJOVSKY. A uniformization theorem for holomorphic foliations. The Lefschetz centennial conference, Contemp. Math., vol. 58, 1987, pp. 233-253. MR 0893869 (88h:57027)
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Additional Information:
Bertrand
Deroin
Affiliation:
Laboratoire de Mathématiques, Université Paris-Sud-Bât 425, 91405 Orsay Cedex, CNRS UMR 8628, France
Email:
Bertrand.Deroin@math.u-psud.fr
DOI:
10.1090/S0002-9939-06-08579-0
PII:
S 0002-9939(06)08579-0
Keywords:
Teichm\"uller theory,
Riemann surface lamination
Received by editor(s):
October 12, 2004
Posted:
October 19, 2006
Additional Notes:
The author acknowledges support from the Swiss National Science Foundation
Communicated by:
Linda Keen
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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