메뉴 건너뛰기




Volumn 49, Issue 7, 2006, Pages 877-892

Isomorphisms of fiber spaces over Teichmuller spaces

Author keywords

'punctured' fiber space; 'punctured' Teichmuller curve; Bers fiber space; Biholomorphic isomorphism; Teichmuller curve; Teichmuller space

Indexed keywords


EID: 33747848726     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-006-2001-9     Document Type: Article
Times cited : (5)

References (26)
  • 1
    • 0002937533 scopus 로고
    • Fiber spaces over Teichmuller spaces
    • Bers L. Fiber spaces over Teichmuller spaces. Acta Math, 1973, 130: 89-126
    • (1973) Acta Math , vol.130 , pp. 89-126
    • Bers, L.1
  • 2
    • 0011328413 scopus 로고
    • Holomorphic families of open Riemann surfaces
    • Earle C J, Fowler R S. Holomorphic families of open Riemann surfaces. Math Ann, 1985, 270: 249-273
    • (1985) Math Ann , vol.270 , pp. 249-273
    • Earle, C.J.1    Fowler, R.S.2
  • 3
    • 0001852925 scopus 로고
    • On holomorphic mappings between Teichmuller spaces
    • Ahlfors L V, Kra I, Maskit B, et al. eds. New York: Academic Press
    • Earle C J, Kra I. On holomorphic mappings between Teichmuller spaces. In: Ahlfors L V, Kra I, Maskit B, et al. eds. Contributions to Analysis, a Collection of Papers Dedicated to Lipman Bers. New York: Academic Press, 1974. 107-124
    • (1974) Contributions to Analysis, a Collection of Papers Dedicated to Lipman Bers , pp. 107-124
    • Earle, C.J.1    Kra, I.2
  • 4
    • 0002700433 scopus 로고
    • On sections of some holomorphic families of closed Riemann surfaces
    • Earle C J, Kra I. On sections of some holomorphic families of closed Riemann surfaces. Acta Math, 1976, 137: 49-79
    • (1976) Acta Math , vol.137 , pp. 49-79
    • Earle, C.J.1    Kra, I.2
  • 5
    • 84894484749 scopus 로고
    • Techniques de construction en geometrie analytique
    • expose 17
    • Grothendieck A. Techniques de construction en geometrie analytique. Sem Cartan, 1960, 61: expose 17
    • (1960) Sem Cartan , vol.61
    • Grothendieck, A.1
  • 6
    • 0010678719 scopus 로고
    • Uniformization, moduli, and Kleinian groups
    • Bers L. Uniformization, moduli, and Kleinian groups. Bull London Math Soc, 1972, 4: 257-300
    • (1972) Bull London Math Soc , vol.4 , pp. 257-300
    • Bers, L.1
  • 7
    • 84966229718 scopus 로고
    • Finite dimensional Teichmuller spaces and generalizations
    • Bers L. Finite dimensional Teichmuller spaces and generalizations. Bull Amer Math Soc, 1981, 5: 131-172
    • (1981) Bull Amer Math Soc , vol.5 , pp. 131-172
    • Bers, L.1
  • 11
    • 0002108767 scopus 로고
    • Quotient d'un espace analytique par un group d'automorphismes
    • Princeton, NJ: Princeton University Press
    • Cartan H. Quotient d'un espace analytique par un group d'automorphismes. In: Algebric Geometry and Algebric Topology. Princeton, NJ: Princeton University Press, 1957. 90-102
    • (1957) Algebric Geometry and Algebric Topology , pp. 90-102
    • Cartan, H.1
  • 12
    • 33748430926 scopus 로고
    • Invarianten endlicher Gruppen und biholomorphe Abbildungen
    • Gottschling E. Invarianten endlicher Gruppen und biholomorphe Abbildungen. Invent Math, 1969, 6: 315-326
    • (1969) Invent Math , vol.6 , pp. 315-326
    • Gottschling, E.1
  • 13
    • 33744949614 scopus 로고    scopus 로고
    • An isomorphism theorem for Teichmuller curves
    • Cai Y M, Shen Y L. An isomorphism theorem for Teichmuller curves. Sci China Ser A-math, 2006, 49(5): 577-586
    • (2006) Sci China Ser A-math , vol.49 , Issue.5 , pp. 577-586
    • Cai, Y.M.1    Shen, Y.L.2
  • 14
    • 0001199862 scopus 로고
    • Isomorphisms between Teichmuller spaces
    • Bers L, Greenberg L. Isomorphisms between Teichmuller spaces. Ann Math Stud, 1970, 66: 53-79
    • (1970) Ann Math Stud , vol.66 , pp. 53-79
    • Bers, L.1    Greenberg, L.2
  • 15
    • 0040748165 scopus 로고
    • Quasiconformal isotopies
    • Drasin D, Earle C J, Gehring F W, et al. eds. Berlin-New York: Springer-Verlag
    • Earle C J, McMullen C T. Quasiconformal isotopies. In: Drasin D, Earle C J, Gehring F W, et al. eds. Holomorphic Functions and Moduli, Vol I. Berlin-New York: Springer-Verlag, 1988. 143-154
    • (1988) Holomorphic Functions and Moduli , vol.1 , pp. 143-154
    • Earle, C.J.1    McMullen, C.T.2
  • 16
    • 33947321695 scopus 로고
    • A theorem of Bers and Greenberg for infinite dimensional Teichmuller spaces
    • Drasin D, Earle C J, Gehring F W, et al. eds. Berlin-New York: Springer-Verlag
    • Gardiner F P. A theorem of Bers and Greenberg for infinite dimensional Teichmuller spaces. In: Drasin D, Earle C J, Gehring F W, et al. eds. Holomorphic Functions and Moduli, Vol I. Berlin-New York: Springer-Verlag, 1988. 195-205
    • (1988) Holomorphic Functions and Moduli , vol.1 , pp. 195-205
    • Gardiner, F.P.1
  • 17
    • 0012036782 scopus 로고
    • On homotopic mappings of Riemann surfaces
    • Marden A. On homotopic mappings of Riemann surfaces. Ann Math, 1969, 90: 1-8
    • (1969) Ann Math , vol.90 , pp. 1-8
    • Marden, A.1
  • 18
    • 4243217078 scopus 로고    scopus 로고
    • Asymptotic Teichmuller space, Part I: The complex structure
    • Earle C J, Gardiner F P, Lakic N. Asymptotic Teichmuller space, Part I: The complex structure. Contemp Math, 2000, 256: 17-38
    • (2000) Contemp Math , vol.256 , pp. 17-38
    • Earle, C.J.1    Gardiner, F.P.2    Lakic, N.3
  • 19
    • 0742284052 scopus 로고    scopus 로고
    • Effectiveness of Teichmuller modular groups
    • Epstein A. Effectiveness of Teichmuller modular groups. Contemp Math, 2000, 256: 69-74
    • (2000) Contemp Math , vol.256 , pp. 69-74
    • Epstein, A.1
  • 20
    • 2442672941 scopus 로고    scopus 로고
    • Inclusion relations between the Bers embeddings of Teichmuller spaces
    • Matsuzaki K. Inclusion relations between the Bers embeddings of Teichmuller spaces. Israel J Math, 2004, 140: 113-123
    • (2004) Israel J Math , vol.140 , pp. 113-123
    • Matsuzaki, K.1
  • 21
    • 21344448656 scopus 로고    scopus 로고
    • Geometric isomorphisms between infinite dimensional Teichmuller spaces
    • Earle C J, Gardiner F P. Geometric isomorphisms between infinite dimensional Teichmuller spaces. Tran Amer Math Soc, 1996, 348: 1163-1190
    • (1996) Tran Amer Math Soc , vol.348 , pp. 1163-1190
    • Earle, C.J.1    Gardiner, F.P.2
  • 22
    • 0347020853 scopus 로고    scopus 로고
    • 1 holomorphic quadratic differentials on Riemann surfaces of finite type
    • 1 holomorphic quadratic differentials on Riemann surfaces of finite type. Duke Math J, 2003, 120: 433-440
    • (2003) Duke Math J , vol.120 , pp. 433-440
    • Earle, C.J.1    Markovic, V.2
  • 23
    • 21744444040 scopus 로고    scopus 로고
    • An isometry theorem for quadratic differentials on Riemann surfaces of finite genus
    • Lakic N. An isometry theorem for quadratic differentials on Riemann surfaces of finite genus. Tran Amer Math Soc, 1997, 349: 2951-2967
    • (1997) Tran Amer Math Soc , vol.349 , pp. 2951-2967
    • Lakic, N.1
  • 24
    • 0347812920 scopus 로고    scopus 로고
    • Biholomorphic maps between Teichmuller spaces
    • Markovic V. Biholomorphic maps between Teichmuller spaces. Duke Math J, 2003, 120: 403-431
    • (2003) Duke Math J , vol.120 , pp. 403-431
    • Markovic, V.1
  • 25
    • 0001199861 scopus 로고
    • Automorphisms and Teichmuller space
    • Royden H L. Automorphisms and Teichmuller space. Ann Math Stud, 1970, 66: 369-384
    • (1970) Ann Math Stud , vol.66 , pp. 369-384
    • Royden, H.L.1
  • 26
    • 0031479183 scopus 로고    scopus 로고
    • On isomorphisms of Bers fiber spaces
    • Zhang C. On isomorphisms of Bers fiber spaces. Ann Acad Sci Fenn, 1997, 22: 255-274
    • (1997) Ann Acad Sci Fenn , vol.22 , pp. 255-274
    • Zhang, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.