Boundaries of the Teichmüller spaces of finitely generated Fuchsian groups of the second kind

Hiro-o YAMAMOTO

doi:10.2969/jmsj/03520307

Hiro-o YAMAMOTO

著者情報

ジャーナルフリー

1983 年 35 巻 2 号 p. 307-321

DOI https://doi.org/10.2969/jmsj/03520307

詳細

Published: 1983 Received: 1980/11/04 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 所属機関情報訂正内容: 訂正前 :
1) Mathematical Institute Tohoku University

訂正後 :
1) Mathematical Institute Tôhoku University

訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : [A] W. Abikoff, On boundaries of Teichmüller spaces and on Kleinian groups III, Acta Math., 134 (1975), 211-234.
[Ah] L.V. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math., 86 (1964),413-429.
[B] A.F. Beardon, The geometry of discrete groups, in “Discrete groups and automorphic functions”. 47-72, Academic Press, New York and London, 1977.
[Ber] L. Bers, On boundaries of Teichmüller spaces and on kleinian groups I, Ann. of Math., 91 (1970), 570-600.
[C] T. Chu, On the outradius of finitely dimensional Teichmüller spaces, in “Discontinuous groups and Riemann surfaces”. Ann, of Math. Studies, 79, 99-104, Princeton Univ. Press, 1974.
[F] L.R. Ford, Automorphic functions, Chelsea, New York, 1951.
[G₁] L. Greenberg, Fundamental polyhedra for Kleinian groups, Ann. of Math., 84 (1966), 433-441.
[G₂] L. Greenberg, Finiteness theorems for Fuchsian and Kleinian groups, in “Discrete groups and automorphic functions”. 199-257, Academic Press, New York and London, 1977.
[L] J. Lehner, Discontinuous groups and automorphic functions, Amer. Math. Soc., Providence, 1964.
[LV] O. Lehto-K.I. Virtanen, Quasi-conformal mappings in the plane, Springer-Verlag, Berlin, 1973.
[M₁] B. Maskit, On Klein's combination theorem, Trans. Amer. Math. Soc., 130 (1965), 499-509.
[M₂] B. Maskit, On Klein's combination theorem II, Trans. Amer. Math. Soc., 131 (1968), 32-39.
[M₃] B. Maskit, On boundaries of Teichmüller spaces and on kleinian groups II, Ann. of Math., 91 (1970), 607-639.
[M₄] B. Maskit, Decomposition of certain Kleinian groups, Acta Math., 130 (1973), 243-263.
[M₅] B. Maskit, On the classification of Kleinian groups, II-signatures, Acta Math., 138 (1977), 17-42.
[N] Z. Nehari, The Schwarzian derivatives and schlicht functions, Bull. Amer. Math. Soc., 55 (1949), 545-551.
[Se₁] H. Sekigawa, The outradius of the Teichmüller space, Tohoku Math.J., 30 (1978), 607-612.
[Se₂] H. Sekigawa, Schwarzian derivatives of some conformal mappings, Tohoku Math. J., 31 (1979), 309-318.
[Sh] H. Shimizu, On discontinuous groups operating on the product of the upper half planes, Ann. of Math., 77 (1963), 33-71.
[Y₁] H. Yamamoto, Squeezing deformations in Schottky spaces, J. Math. Soc. Japan, 31 (1979), 227-243.
[Y₂] H. Yamamoto, Constructibility and geometric finiteness of Kleinian groups, Tohoku Math. J., 32 (1980), 353-362.

Right : [A] W. Abikoff, On boundaries of Teichmüller spaces and on Kleinian groups III, Acta Math., 134 (1975), 211-234.
[Ah] L. V. Ahlfors, Finitely generated Kleinian groups, Amer. J. Math., 86 (1964), 413-429.
[B] A. F. Beardon, The geometry of discrete groups, in “Discrete groups and automorphic functions”, 47-72, Academic Press, New York and London, 1977.
[Ber] L. Bers, On boundaries of Teichmüller spaces and on kleinian groups I, Ann. of Math., 91 (1970), 570-600.
[C] T. Chu, On the outradius of finitely dimensional Teichmüller spaces, in “Discontinuous groups and Riemann surfaces”, Ann. of Math. Studies, 79, 99-104, Princeton Univ. Press, 1974.
[F] L. R. Ford, Automorphic functions, Chelsea, New York, 1951.
[G1] L. Greenberg, Fundamental polyhedra for Kleinian groups, Ann. of Math., 84 (1966), 433-441.
[G2] L. Greenberg, Finiteness theorems for Fuchsian and Kleinian groups, in “Discrete groups and automorphic functions”, 199-257, Academic Press, New York and London, 1977.
[L] J. Lehner, Discontinuous groups and automorphic functions, Amer. Math. Soc., Providence, 1964.
[LV] O. Lehto-K.I. Virtanen, Quasi-conformal mappings in the plane, Springer-Verlag, Berlin, 1973.
[M1] B. Maskit, On Klein's combination theorem, Trans. Amer. Math. Soc., 130 (1965), 499-509.
[M2] B. Maskit, On Klein's combination theorem II, Trans. Amer. Math. Soc., 131 (1968), 32-39.
[M3] B. Maskit, On boundaries of Teichmüller spaces and on kleinian groups II, Ann. of Math., 91 (1970), 607-639.
[M4] B. Maskit, Decomposition of certain Kleinian groups, Acta Math., 130 (1973), 243-263.
[M5] B. Maskit, On the classification of Kleinian groups, II-signatures, Acta Math., 138 (1977), 17-42.
[N] Z. Nehari, The Schwarzian derivatives and schlicht functions, Bull. Amer. Math. Soc., 55 (1949), 545-551.
[Se1] H. Sekigawa, The outradius of the Teichmüller space, Tôhoku Math.J., 30 (1978), 607-612.
[Se2] H. Sekigawa, Schwarzian derivatives of some conformal mappings, Tôhoku Math. J., 31 (1979), 309-318.
[Sh] H. Shimizu, On discontinuous groups operating on the product of the upper half planes, Ann. of Math., 77 (1963), 33-71.
[Y1] H. Yamamoto, Squeezing deformations in Schottky spaces, J. Math. Soc. Japan, 31 (1979), 227-243.
[Y2] H. Yamamoto, Constructibility and geometric finiteness of Kleinian groups, Tôhoku Math. J., 32 (1980), 353-362.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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