Bulletin of the American Mathematical Society

MathSciNet review: 1567786
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Book Information:

Author: 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.

William Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Mathematics, vol. 820, Springer, Berlin, 1980. MR 590044

S. L. Krushkal′, B. N. Apanasov, and N. A. Gusevskiĭ, Kleinian groups and uniformization in examples and problems, Translations of Mathematical Monographs, vol. 62, American Mathematical Society, Providence, RI, 1986. Translated from the Russian by H. H. McFaden; Translation edited and with a preface by Bernard Maskit. MR 835439, DOI 10.1090/mmono/062

Lars V. Ahlfors, The complex analytic structure of the space of closed Riemann surfaces. , Analytic functions, Princeton Univ. Press, Princeton, N.J., 1960, pp. 45–66. MR 0124486

Lars V. Ahlfors, On quasiconformal mappings, J. Analyse Math. 3 (1954), 1–58; correction, 207–208. MR 64875, DOI 10.1007/BF02803585

Lars Ahlfors and Lipman Bers, Riemann’s mapping theorem for variable metrics, Ann. of Math. (2) 72 (1960), 385–404. MR 115006, DOI 10.2307/1970141

Lipman Bers, Correction to “Spaces of Riemann surfaces as bounded domains”, Bull. Amer. Math. Soc. 67 (1961), 465–466. MR 130972, DOI 10.1090/S0002-9904-1961-10637-X

7.

L. Bers, On moduli of Riemann surfaces, ETH, 1964.

Lipman Bers and H. L. Royden, Holomorphic families of injections, Acta Math. 157 (1986), no. 3-4, 259–286. MR 857675, DOI 10.1007/BF02392595

Louis de Branges, A proof of the Bieberbach conjecture, Acta Math. 154 (1985), no. 1-2, 137–152. MR 772434, DOI 10.1007/BF02392821

10.

C. J. Earle, Review of univalent functions and Teichmüller spaces by Olli Lehto, Bull. Amer. Math. Soc. (N. S. ) 19(1988), 488-490.

Carl H. FitzGerald and Ch. Pommerenke, The de Branges theorem on univalent functions, Trans. Amer. Math. Soc. 290 (1985), no. 2, 683–690. MR 792819, DOI 10.1090/S0002-9947-1985-0792819-9

Frederick P. Gardiner, Teichmüller theory and quadratic differentials, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1987. A Wiley-Interscience Publication. 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.

Olli Lehto, Univalent functions and Teichmüller spaces, Graduate Texts in Mathematics, vol. 109, Springer-Verlag, New York, 1987. MR 867407, DOI 10.1007/978-1-4613-8652-0

R. Mañé, P. Sad, and D. Sullivan, On the dynamics of rational maps, Ann. Sci. École Norm. Sup. (4) 16 (1983), no. 2, 193–217. MR 732343

Charles B. Morrey Jr., On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc. 43 (1938), no. 1, 126–166. MR 1501936, DOI 10.1090/S0002-9947-1938-1501936-8

Kurt Strebel, Quadratic differentials, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 5, Springer-Verlag, Berlin, 1984. MR 743423, DOI 10.1007/978-3-662-02414-0

Dennis P. Sullivan and William P. Thurston, Extending holomorphic motions, Acta Math. 157 (1986), no. 3-4, 243–257. MR 857674, DOI 10.1007/BF02392594

Oswald Teichmüller, Gesammelte Abhandlungen, Springer-Verlag, Berlin-New York, 1982 (German). Edited and with a preface by Lars V. Ahlfors and Frederick W. Gehring. MR 649778

1.

W. Abikoff, The real analytic theory of Teichmüller space, Lecture Notes in Math., vol. 820, Springer-Verlag, Berlin and New York, 1980. MR 0590044

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