A theorem on the outradii of Teichmüller spaces

Toshihiro NAKANISHI

doi:10.2969/jmsj/04010001

Toshihiro NAKANISHI

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JOURNAL FREE ACCESS

1988 Volume 40 Issue 1 Pages 1-8

DOI https://doi.org/10.2969/jmsj/04010001

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Published: 1988 Received: June 02, 1986 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : A theorem on the outradii of Teichmuller spaces
Right : A theorem on the outradii of Teichmüller spaces

Date of correction: October 20, 2006 Reason for correction: - Correction: SUBTITLE Details: Wrong : Dedicated to Professor Tadashi Kuroda on his sixtieth birthday

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) L. Bers, On boundaries of Teichmüller spaces and on kleinian groups: I, Ann. of Math., 91(1970), 570-600.
2) T. Chu, On the outradius of finite-dimensional Teichmüller spaces, Ann. of Math. Studies, 79, Princeton Univ. Press, Princeton N. J., 1974, pp. 75-79.
3) N. Halphern, A proof of the collar lemma, Bull. London Math. Soc., 13 (1981), 141-144.
4) E. Hille, Remark on a paper by Zeev Nehari, Bull. Amer. Math. Soc., 55 (1949), 552-553.
5) C. I. Kalme, Remarks on a paper by Lipman Bers, Ann. of Math., 91 (1970), 601-606.
6) I. Kra, Automorphic Forms and Kleinian Groups, Benjamin, 1972.
7) O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, Springer, 1973.
8) Z. Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc., 55 (1949), 545-551.
9) Ch. Pommerenke, Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
10) H. L. Royden, Real Analysis, 2nd ed., Collier-MacMillan, London, 1968.
11) H. Sekigawa, The outradius of the Teichmüller spaces, Tohoku Math. J., 30 (1978), 607-612.
12) H. Sekigawa and H. Yamamoto, Outradii of Teichmüller spaces of finitely generated Fuchsian groups of the second kind, J. Math. Kyoto Univ., 26 (1986), 23-30.
13) H. Sekigawa and H. Yamamoto, Outradii of Teichmüller spaces of Fuchsian groups of the second kind, Tohoku Math. J., 38 (1986), 365-370.

Right : [1] L. Bers, On boundaries of Teichmüller spaces and on kleinian groups: I, Ann. of Math., 91 (1970), 570-600.
[2] T. Chu, On the outradius of finite-dimensional Teichmüller spaces, Ann. of Math. Studies, 79, Princeton Univ. Press, Princeton N. J., 1974, pp. 75-79.
[3] N. Halphern, A proof of the collar lemma, Bull. London Math. Soc., 13 (1981), 141-144.
[4] E. Hille, Remark on a paper by Zeev Nehari, Bull. Amer. Math. Soc., 55 (1949), 552-553.
[5] C. I. Kalme, Remarks on a paper by Lipman Bers, Ann. of Math., 91 (1970), 601-606.
[6] I. Kra, Automorphic Forms and Kleinian Groups, Benjamin, 1972.
[7] O. Lehto and K. I. Virtanen, Quasiconformal Mappings in the Plane, Springer, 1973.
[8] Z. Nehari, The Schwarzian derivative and schlicht functions, Bull. Amer. Math. Soc., 55 (1949), 545-551.
[9] Ch. Pommerenke, Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
[10] H. L. Royden, Real Analysis, 2nd ed., Collier-MacMillan, London, 1968.
[11] H. Sekigawa, The outradius of the Teichmüller spaces, Tôhoku Math. J., 30 (1978), 607-612.
[12] H. Sekigawa and H. Yamamoto, Outradii of Teichmüller spaces of finitely generated Fuchsian groups of the second kind, J. Math. Kyoto Univ., 26 (1986), 23-30.
[13] H. Sekigawa and H. Yamamoto, Outradii of Teichmüller spaces of Fuchsian groups of the second kind, Tôhoku Math. J., 38 (1986), 365-370.

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