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Volumn 9, Issue 1, 1999, Pages 69-70

Isometrically embedded polydisks in infinite dimensional Teichmüller spaces

(2)  Earle, Clifford J a   Li, Zhong a  

a NONE

Author keywords

Kobayashi metric; Polydisk; Riemann surface; Teichm ller metric

Indexed keywords


EID: 29044434376     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02923088     Document Type: Article
Times cited : (50)

References (22)
  • 2
    • 84972547441 scopus 로고
    • The Teichmüller distance is differentiable
    • Earle, C.J. The Teichmüller distance is differentiable, Duke Math. J., 44, 389-397, (1977).
    • (1977) Duke Math. J. , vol.44 , pp. 389-397
    • Earle, C.J.1
  • 3
    • 21344448656 scopus 로고    scopus 로고
    • Geometric isomorphisms between infinite dimensional Teichmüller spaces
    • Earle, C.J. and Gardiner, F.P. Geometric isomorphisms between infinite dimensional Teichmüller spaces, Trans. Am. Math. Soc., 348, 1163-1190, (1996).
    • (1996) Trans. Am. Math. Soc. , vol.348 , pp. 1163-1190
    • Earle, C.J.1    Gardiner, F.P.2
  • 4
    • 0001345672 scopus 로고    scopus 로고
    • Vector fields for holomorphic motions of closed sets
    • Earle, C.J., Gardiner, F.P., and Lakic, N. Vector fields for holomorphic motions of closed sets, Contemp. Math., 211, 193-225, (1997).
    • (1997) Contemp. Math. , vol.211 , pp. 193-225
    • Earle, C.J.1    Gardiner, F.P.2    Lakic, N.3
  • 5
    • 84966203364 scopus 로고
    • Holomorphic motions and Teichmüller spaces
    • Earle, C.J., Kra, I., and Krushkal', S.L. Holomorphic motions and Teichmüller spaces, Trans. Am. Math. Soc., 343, 927-948, (1994).
    • (1994) Trans. Am. Math. Soc. , vol.343 , pp. 927-948
    • Earle, C.J.1    Kra, I.2    Krushkal, S.L.3
  • 6
    • 51249180276 scopus 로고
    • Über extremale quasikonforme Abbildungen
    • Fehlmann, R. Über extremale quasikonforme Abbildungen, Comment. Math. Helv., 56, 558-580, (1981).
    • (1981) Comment. Math. Helv. , vol.56 , pp. 558-580
    • Fehlmann, R.1
  • 7
    • 84971186468 scopus 로고
    • On the variation of Teichmüller's metric
    • Gardiner, F.P. On the variation of Teichmüller's metric, Proc. Roy. Soc. Edinburgh Sect. A, 85, 143-152, (1980).
    • (1980) Proc. Roy. Soc. Edinburgh Sect. A , vol.85 , pp. 143-152
    • Gardiner, F.P.1
  • 9
    • 84966220326 scopus 로고
    • On Teichmüller contraction
    • Gardiner, F.P. On Teichmüller contraction, Proc. Am. Math. Soc., 118, 865-875, (1993).
    • (1993) Proc. Am. Math. Soc. , vol.118 , pp. 865-875
    • Gardiner, F.P.1
  • 10
    • 0000454356 scopus 로고
    • Symmetric structures on a closed curve
    • Gardiner, F.P. and Sullivan, D. Symmetric structures on a closed curve, Am. J. Math., 114, 683-736, (1992).
    • (1992) Am. J. Math. , vol.114 , pp. 683-736
    • Gardiner, F.P.1    Sullivan, D.2
  • 11
    • 84966234421 scopus 로고
    • On the shape of the unit sphere in Q(Δ)
    • Goldberg, L.R. On the shape of the unit sphere in Q(Δ), Proc. Am. Math. Soc., 118, 1179-1185, (1993).
    • (1993) Proc. Am. Math. Soc. , vol.118 , pp. 1179-1185
    • Goldberg, L.R.1
  • 12
    • 77956911867 scopus 로고
    • Schwarz-Pick systems of pseudometrics for domains in normed linear spaces
    • Advances in Holomorphy, Barroso, J.A., Ed., North-Holland, Amsterdam
    • Harris, L.A. Schwarz-Pick systems of pseudometrics for domains in normed linear spaces, Advances in Holomorphy, Barroso, J.A., Ed., North-Holland Mathematics Series 34, North-Holland, Amsterdam, 1979.
    • (1979) North-Holland Mathematics Series 34
    • Harris, L.A.1
  • 13
    • 0002702367 scopus 로고
    • On the geometry of Teichmüller spaces and the structure of their modular groups
    • Kravetz, S. On the geometry of Teichmüller spaces and the structure of their modular groups, Ann. Acad. Sci. Fenn. Ser. A, I Math., 278, 1-35, (1959).
    • (1959) Ann. Acad. Sci. Fenn. Ser. A, I Math. , vol.278 , pp. 1-35
    • Kravetz, S.1
  • 14
    • 0000415720 scopus 로고    scopus 로고
    • Strebel points
    • Lakic, N. Strebel points, Contemp. Math., 211, 417-431, (1997).
    • (1997) Contemp. Math. , vol.211 , pp. 417-431
    • Lakic, N.1
  • 15
    • 0000818236 scopus 로고
    • Non-uniqueness of geodesics in infinite-dimemsional Teichmüller spaces
    • Li, Z. Non-uniqueness of geodesics in infinite-dimemsional Teichmüller spaces, Complex Variables Theory Appl., 16, 261-272, (1991).
    • (1991) Complex Variables Theory Appl. , vol.16 , pp. 261-272
    • Li, Z.1
  • 16
    • 0012858381 scopus 로고
    • Non-uniqueness of geodesics in infinite-dimemsional Teichmüller spaces (II)
    • Li, Z. Non-uniqueness of geodesics in infinite-dimemsional Teichmüller spaces (II), Ann. Acad. Sci. Fenn. Ser. A I Math., 18, 355-367, (1993).
    • (1993) Ann. Acad. Sci. Fenn. Ser. A I Math. , vol.18 , pp. 355-367
    • Li, Z.1
  • 17
    • 21344444164 scopus 로고    scopus 로고
    • Closed geodesics and non-differentiability of the metric in infinite-dimensional Teichmüller spaces
    • Li, Z. Closed geodesics and non-differentiability of the metric in infinite-dimensional Teichmüller spaces, Proc. Am. Math. Soc., 124, 1459-1465, (1996).
    • (1996) Proc. Am. Math. Soc. , vol.124 , pp. 1459-1465
    • Li, Z.1
  • 19
    • 3042886612 scopus 로고
    • On the relation between local and global properties of boundary values for extremal quasiconformal mappings
    • Discontinuous Groups and Riemann Surfaces. Greenberg, L., Ed., Princeton University Press, Princeton, NJ
    • Reich, E. On the relation between local and global properties of boundary values for extremal quasiconformal mappings, Discontinuous Groups and Riemann Surfaces. Greenberg, L., Ed., Ann. Math. Stud. 79, Princeton University Press, Princeton, NJ, 391-407, (1974).
    • (1974) Ann. Math. Stud. 79 , pp. 391-407
    • Reich, E.1
  • 20
    • 33645951993 scopus 로고    scopus 로고
    • On the weak convexity of Q(R)
    • Shen, Y-L. On the weak convexity of Q(R), Proc. Am. Math. Soc., 124, 1879-1882, (1996).
    • (1996) Proc. Am. Math. Soc. , vol.124 , pp. 1879-1882
    • Shen, Y.-L.1
  • 21
    • 84951601093 scopus 로고
    • Extremal quasiconformal mappings
    • Strebel, K. Extremal quasiconformal mappings, Resultate Math., 10, 168-210, (1986).
    • (1986) Resultate Math. , vol.10 , pp. 168-210
    • Strebel, K.1
  • 22
    • 84972530029 scopus 로고
    • Holomorphic families of geodesic discs in infinite dimensional Teichmüller spaces
    • Tanigawa, H. Holomorphic families of geodesic discs in infinite dimensional Teichmüller spaces, Nagoya Math. J., 127, 117-128, (1992).
    • (1992) Nagoya Math. J. , vol.127 , pp. 117-128
    • Tanigawa, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.