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Book Review
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Book Information
Author(s):
Subhashis Nag
Title:
The complex analytic theory of Teichmüller spaces
Additional book information:
John Wiley, New York, Chichester, Brisbane, Toronto, Singapore (Canadian Mathematical Society Series of Monographs and Advanced Texts), 1988, xii + 427 pp., $54.95. ISBN 0-471-62773-9
References:
- 1.
- W. Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Math., vol. 820, Springer-Verlag, Berlin and New York, 1980. MR 590044
- 2.
- B. Apanasov, S. Krushkal' and N. Guseviskii, Kleinian groups and uniformization in examples and problems, vol. 62, Transl. Math. Monographs, Amer. Math. Soc., Providence, R. I., 1986. MR 835439
- 3.
- L. Ahlfors, The complex analytic structure of the space of closed Riemann surfaces, Analytic Functions, Princeton Univ. Press, Princeton, N. J., 1960. MR 124486
- 4.
- L. Ahlfors, On quasiconformal mappings, J. d'Analyse Math. 3(1953/1954), 1-58. MR 64875
- 5.
- L. Ahlfors and L. Bers, Riemann's mapping theorem for variable metrics, Ann. of Math. (2) 72(1960), 385-404. MR 115006
- 6.
- L. Bers, Correction to spaces of riemann surfaces as bounded domains, Bull. Amer. Math. Soc. 67(1961), 467-466. MR 130972
- 7.
- L. Bers, On moduli of Riemann surfaces, ETH, 1964.
- 8.
- L. Bers and H. Royden, Holomorphic families of injections, Acta Math. 157(1986), 259-286. MR 857675
- 9.
- L. De Branges, A proof of the Bieberbach conjecture, Acta Math. 154(1985), 137-152. MR 772434
- 10.
- C. J. Earle, Review of univalent functions and Teichmüller spaces by Olli Lehto, Bull. Amer. Math. Soc. (N. S. ) 19(1988), 488-490.
- 11.
- C. FitzGerald and C. Pommerenke, The De Branges theorem on univalent functions, Trans. Amer. Math. Soc. 290(1985), 683-690. MR 792819
- 12.
- F. Gardiner, Teichmüller theory and quadratic differentials, J. Wiley and Sons, 1987. MR 903027
- 13.
- H. Grötzsch, Über einige extremalprobleme der konformen abildung. I. Ber. Verh. Sächs. Akad. Wiss. Leipzig, Math. -Naturwiss. Kl. 80(1928), 367-376.
- 14.
- I. Kra, Review of Teichmüller theory and quadratic differentials by Frederick Gardiner, Bull. Amer. Math. Soc. (N. S. ) 19(1988), 494-498.
- 15.
- O. Lehto, Univalent functions and Teichmüller spaces, vol. 109, Graduate Texts in Math., Springer-Verlag, Berlin and New York, 1987. MR 867407
- 16.
- P. Sad, R. Manè and D. Sullivan, On the dynamics of rational maps, Ann. Sci. École Norm. Sup. 16(1983), 193-217. MR 732343
- 17.
- C. Morrey, On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43(1938), 126-166. MR 1501936
- 18.
- K. Strebel, Quadratic differentials, Springer-Verlag, Berlin and New York, 1984. MR 743423
- 19.
- D. Sullivan and W. Thurston, Extending holomorphic motions, Acta Math. 157(1986), 243-257. MR 857674
- 20.
- O. Teichmüller, Collected Papers, Springer-Verlag, Berlin and New York, 1982. MR 649778
Additional Information:
Reviewer(s):
William
Abikoff
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
162-168.
DOI:
10.1090/S0273-0979-1989-15803-5
PII:
S 0273-0979(1989)15803-5
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