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Geometric relations between homeomorphic Riemann surfaces
Author:
A. Marden
Journal:
Bull. Amer. Math. Soc. 3 (1980), 1001-1017
MSC (1980):
Primary 30F99; Secondary 30-02, 30C60, 30F35
MathSciNet review:
585180
Full-text PDF
References |
Similar Articles |
Additional Information
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MR 559474
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- 1.
- L. V. Ahlfors, The complex analytic structure of the space of closed Riemann surfaces, Analytic Functions (R. Nevanlinna et al, eds.), Princeton Univ. Press, Princeton, N. J., 1960, pp. 45-66. MR 124486
- 2.
- L. V. Ahlfors, Lectures on quasiconformal mappings, Van Nostrand, Reinhold, Princeton, N. J., 1966. MR 200442
- 3.
- L. Bers, On boundaries of Teichmüller spaces and kleinian groups. I, Ann. of Math. (2) 91 (1970), 570-600. MR 297992
- 4.
- L. Bers, Quasiconformal mappings and Teichmüller's theorem, Analytic Functions (R. Nevanlinna et al, eds.), Princeton Univ. Press, Princeton, N. J., 1960, pp. 89-119. MR 114898
- 5.
- C. Earle, Teichmüller theory, Discrete Groups and Automorphic Functions (W. Harvey, ed.), Academic Press, London, 1977, pp. 143-161. MR 492946
- 6.
- C. Earle and I. Kra, On isometries between Teichmüller spaces, Duke Math. J. 41 (1974), 583-591. MR 348098
- 7.
- C. Earle and A. Marden, Quasifuchsian space and geometric complex coordinates for Teichmüller and moduli space (to appear).
- 8.
- F. W. Gehring, Rings and quasiconformal mappings in space, Trans. Amer. Math. Soc. 103 (1962), 353-393. MR 139735
- 9.
- J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Math. 142 (1979), 211-274. MR 523212
- 10.
- J. A. Jenkins, On the existence of certain general extremal metrics, Ann. of Math. (2) 66 (1957), 440-453. MR 90648
- 11.
- T. Jorgensen, On reopening of cusps (to appear).
- 12.
- S. P. Kerckhoff, The asymptotic geometry of Teichmüller space, Thesis, Princeton Univ., 1978; Topology 19 (1980), 23-41. MR 559474
- 13.
- A. Marden, Geometrically finite kleinian groups and their deformation spaces, Discrete Groups and Automorphic Functions (W. Harvey, ed.), Academic Press, London, 1977, pp. 259-293. MR 494117
- 14.
- A. Marden and H. Masur, A foliation of Teichmüller space by twist invariant disks, Math. Scand. 36 (1975), 211-228; 39 (1976), 232-238.
- 15.
- A. Marden and K. Strebel (to appear).
- 16.
- B. Maskit, On boundaries of Teichmüller space. II, Ann. of Math. (2) 91 (1970), 607-639. MR 297993
- 17.
- H. Masur, On a class of geodesics in Teichmüller space, Ann. of Math. (2) 102 (1975), 205-221. MR 385173
- 18.
- H. Masur, The Jenkins-Strebel differentials with one cylinder are dense, Comment. Math. Helv. 54 (1979), 179-184. MR 535053
- 19.
- H. L. Royden, Automorphisms and isometries of Teichüller space, Advances in the Theory of Riemann Surfaces (L. Ahlfors et al, eds.), Ann. of Math. Studies, no. 66, Princeton Univ. Press, Princeton, N. J., 1971, pp. 369-383. MR 288254
- 20.
- K. Strebel, On quadratic differentials and extremal quasiconformal mappings, Univ. of Minnesota Lecture Notes, 1967.
- 21.
- K. Strebel, Quadratic differentials, Springer-Verlag (Ergebnisse series) (to appear). MR 743423
- 22.
- A. Fathi, F. Laudenbach and V. Poénaru, Travaux de Thurston sur les surfaces, Astérisque 66-67 (1979). MR 568308
- 23.
- W. Thurston, The geometry and topology of 3-manifolds, Lecture Notes, Princeton Univ.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1980-14836-3
PII:
S 0273-0979(1980)14836-3
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