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Two boundaries of Teichmüller space. (English) Zbl 0508.30039


MSC:

30F30 Differentials on Riemann surfaces
30F10 Compact Riemann surfaces and uniformization
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)
57R30 Foliations in differential topology; geometric theory
Full Text: DOI

References:

[1] W. Abikoff, Degenerating families of Riemann surfaces , Ann. of Math. (2) 105 (1977), no. 1, 29-44. JSTOR: · Zbl 0347.32010 · doi:10.2307/1971024
[2] W. Abikoff, The real analytic theory of Teichmüller space , Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. · Zbl 0452.32015
[3] L. Bers, Quasiconformal mappings and Teichmüller’s theorem , Analytic functions ed. R. Nevalinna, et al., Princeton Univ. Press, Princeton, N.J., 1960, pp. 89-119. · Zbl 0100.28904
[4] A. Fathi, et al., Travaux de Thurston sur les surfaces , Astérisque, Société mathématique de France, Paris, 1979, 66-67. · Zbl 0406.00016
[5] J. Hubbard and H. Masur, Quadratic differentials and foliations , Acta Math. 142 (1979), no. 3-4, 221-274. · Zbl 0415.30038 · doi:10.1007/BF02395062
[6] S. P. Kerckhoff, The asymptotic geometry of Teichmüller space , Topology 19 (1980), no. 1, 23-41. · Zbl 0439.30012 · doi:10.1016/0040-9383(80)90029-4
[7] S. Kobayashi, Hyperbolic manifolds and holomorphic mappings , Pure and Applied Mathematics, vol. 2, Marcel Dekker Inc., New York, 1970. · Zbl 0207.37902
[8] H. Masur, Interval exchange transformations and measured foliations , Ann. of Math. (2) 115 (1982), no. 1, 169-200. JSTOR: · Zbl 0207.37902 · doi:10.2307/1971341
[9] M. Rees, An alternative approach to the ergodic theory of measured foliations on surfaces , preprint IHES. · Zbl 0539.58018
[10] W. Thurston, Hyperbolic structures on \(3\)-manifolds, II: surface groups and \(3\)-manifolds which fiber over the circle , to appear in Annals of Math.
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