메뉴 건너뛰기




Volumn 7, Issue 2, 2011, Pages 455-468

Teichmüller mappings, quasiconformal homogeneity, and non-amenable covers of Riemann surfaces

Author keywords

Hyperbolic orbifold; Quasiconformal homogeneity; Riemann surface

Indexed keywords


EID: 79952257798     PISSN: 15588599     EISSN: 15588602     Source Type: Journal    
DOI: 10.4310/PAMQ.2011.v7.n2.a10     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 79951832804 scopus 로고
    • An extremal displacement mapping in n-space
    • Proc. Colloq., Univ. Joensuu, Joensuu 1978, Lecture Notes in Math., 747, Springer, Berlin, 1979
    • G.D. Anderson and M.K. Vamanamurthy, An extremal displacement mapping in n-space, Complex analysis Joensuu 1978 (Proc. Colloq., Univ. Joensuu, Joensuu, 1978), pp. 1-9, Lecture Notes in Math., 747, Springer, Berlin, 1979.
    • (1978) Complex analysis Joensuu , pp. 1-9
    • Anderson, G.D.1    Vamanamurthy, M.K.2
  • 2
    • 0004103173 scopus 로고
    • The geometry of discrete groups
    • Springer-Verlag, New York
    • A. Beardon, The geometry of discrete groups, Springer-Verlag, New York, 1995.
    • (1995)
    • Beardon, A.1
  • 3
    • 0040469049 scopus 로고
    • Automorphic forms for Schottky groups
    • L. Bers, Automorphic forms for Schottky groups, Advances in Mathematics 16 (1974), 332-361.
    • (1974) Advances in Mathematics , vol.16 , pp. 332-361
    • Bers, L.1
  • 6
    • 0001852925 scopus 로고
    • On holomorphic mappings between teichmüller spaces, in contributions to analysis
    • L. Ahlfors et al (eds.), Academic Press, New York
    • C. Earle and I. Kra, On holomorphic mappings between Teichmüller spaces, in Contributions to analysis, L. Ahlfors et al (eds.), Academic Press, New York, 1974, 107-124.
    • (1974) , pp. 107-124
    • Earle, C.1    Kra, I.2
  • 7
    • 51249187570 scopus 로고
    • Quasiconformally homogeneous domains
    • F. W. Gehring and B. Palka, Quasiconformally homogeneous domains, J. Analyse Math. 30 (1976), 172-199.
    • (1976) J. Analyse Math , vol.30 , pp. 172-199
    • Gehring, F.W.1    Palka, B.2
  • 8
    • 0032419944 scopus 로고    scopus 로고
    • Quasiconformally homogeneous compacta in the complex plane
    • P. MacManus, R. NÄakki, and B. Palka, Quasiconformally homogeneous compacta in the complex plane, Michigan Math. J. 45 (1998), 227-241.
    • (1998) Michigan Math. J , vol.45 , pp. 227-241
    • Macmanus, P.1    Näakki, R.2    Palka, B.3
  • 9
    • 15244360286 scopus 로고    scopus 로고
    • Quasiconformally bi-homogeneous compacta in the complex plane
    • P. MacManus, R. NÄakki, and B. Palka, Quasiconformally bi-homogeneous compacta in the complex plane, Proc. London Math. Soc. 78 (1999), 215-240.
    • (1999) Proc. London Math. Soc , vol.78 , pp. 215-240
    • MacManus, P.1    Näakki, R.2    Palka, B.3
  • 10
    • 0002828330 scopus 로고
    • Amenability, Poincare ́ series, and quasiconformal maps
    • C. McMullen, Amenability, Poincare ́ series, and quasiconformal maps, Invent. Math. 97 (1989), no. 1, 95-127.
    • (1989) Invent. Math , vol.97 , Issue.1 , pp. 95-127
    • McMullen, C.1
  • 11
    • 84959755345 scopus 로고
    • Subgroups of surface groups are almost geometric
    • G. P. Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978), 555-565.
    • (1978) J. London Math. Soc , vol.17 , pp. 555-565
    • Scott, G.P.1
  • 12
    • 0001506577 scopus 로고
    • See also ibid Correction
    • See also ibid Correction: J. London Math. Soc. 32 (1985), 217-220.
    • (1985) J. London Math. Soc , vol.32 , pp. 217-220
  • 13
    • 0000877527 scopus 로고
    • Zum isodiametrischen problem im hyperbolischen raum
    • J. Schneider, Zum Isodiametrischen Problem im Hyperbolischen Raum, Manuscripta Math. 60 (1988), 437-461.
    • (1988) Manuscripta Math , vol.60 , pp. 437-461
    • Schneider, J.1
  • 14
    • 0000849950 scopus 로고
    • Ein verschiebungssatz der quasikonformen abbildung
    • O. TeichmÄuller, Ein Verschiebungssatz der quasikonformen Abbildung, Deutsche Math. 7 (1944), 336-343.
    • (1944) Deutsche Math , vol.7 , pp. 336-343
    • Teichmäuller, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.