@ARTICLE{AhlforsBers,
AUTHOR = "Lars Ahlfors and Lipman Bers",
TITLE = "Riemann's mapping theorem for variable metrics",
JOURNAL = "Ann. Math.",
VOLUME = "72",
PAGES = "385 -- 404",
YEAR = "1960"}



@BOOK{Ford,
TITLE="Automorphic Functions",
AUTHOR="Lester R. Ford",
PUBLISHER="McGraw--Hill Book Company, Inc.",
ADDRESS ="New York, NY",
YEAR="1929"}




@BOOK{AhlforsSario,
TITLE = "Riemann Surfaces",
AUTHOR = "Lars Ahlfors and Leo Sario",
PUBLISHER = "Princeton University Press",
YEAR = "1960",
ADDRESS = "Princeton, New Jersey"}


@BOOK{Goldberg,
AUTHOR = "Samuel I. Goldberg",
TITLE ="Curvature and Homology",
PUBLISHER = "Dover Publications, Inc.",
ADDRESS = "New York",
YEAR = "1962"}

@BOOK{Klingenberg,
TITLE="A course in differential geometry",
AUTHOR="Klingenberg, W.",
PUBLISHER="Springer--Verlag",
ADDRESS = "Berlin--Heidelberg--New York",
YEAR="1978"}


@BOOK{LehtoVirtanen,
TITLE = "Quasiconformal mappings in the plane",
NOTE = "Translated from the {G}erman by K. W. Lucas. 2nd ed.",
AUTHOR = "Lehto, O. and Virtanen, K. I.",
SERIES = "Die Grundlehren der mathematischen Wissenschaften",
VOLUME = "126",
PUBLISHER = "Springer--Verlag",
ADDRESS = "Berlin--Heidelberg--New York",
YEAR = "1973"}




@INCOLLECTION{LEHTO:4,
TITLE= "Quasiconformal homeomorphisms and {B}eltrami equations",
BOOKTITLE = "Discrete {G}roups and {A}utomorphic {F}unctions",
AUTHOR = "O. Lehto",
EDITOR = "W. J. Harvey",
PUBLISHER = "Academic Press",
YEAR = "1977",
PAGES = "121 -- 142"}











@BOOK{Lehto:Uni,
TITLE = "Univalent {F}unctions and {T}eichm{\"u}ller {S}paces",
AUTHOR = "Lehto, Olli",
SERIES = "Graduate Texts in Mathematics",
VOLUME = "109",
PUBLISHER = "Springer-Verlag",
ADDRESS = "Berlin--Heidelberg--New York",
YEAR = "1986"}


@BOOK{Ahlfors:Quasi,
TITLE = "Lectures on quasiconformal mappings",
NOTE = "Manuscr. prep. with the assist. of Clifford J. Earle jun.\
                        (Reprint)",
AUTHOR = "Ahlfors, Lars V.",
SERIES = "{The Wadsworth \&\ Brooks / Cole Mathematics Series}",
ADDRESS = "Monterey,  California",
PUBLISHER = "Wadsworth \&\ Brooks / Cole Advanced Books \&\ Software",
YEAR = "1987"}



@BOOK{Spanier,
TITLE = "Algebraic Topology",
AUTHOR = " Edwin H. Spanier",
ADDRESS = "New York",
PUBLISHER = "McGraw--Hill Book Company",
YEAR = "1966"}

@ARTICLE{Strebel:1955,
AUTHOR = "Kurt Strebel",
TITLE = "On the maximal dilatation of quasiconformal mappings",
JOURNAL = "Proc. Amer. Math. Soc.",
VOLUME = "6",
PAGES = "903 -- 909",
YEAR = "1955"}


@ARTICLE{GehringLehto,
AUTHOR = "F. W. Gehring and O. Lehto",
TITLE = "On the total differentiability of functions of a complex
          variable",
JOURNAL = "Ann. Acad. Sci. Fenn. A I",
VOLUME = "272",
YEAR = "1959"}



@ARTICLE{Weichhold,
AUTHOR = "Guido Weichhold",
TITLE = "{\"U}ber symmetrische {R}iemannsche {F}l{\"a}chen und die
         {P}eriodizit{\"a}tsmodulen der zugeh{\"o}rigen {A}belschen
         {N}ormalintergale erstes {G}attung",
JOURNAL = "Leipziger Dissertation",
YEAR = "1883"}


@ARTICLE{Klein1,
AUTHOR = "Klein, Felix",
TITLE = "{\"U}ber eine {A}rt von {R}iemannschen
           {Fl\"a}chen",
JOURNAL = "Math. Annalen",
VOLUME ="10",
PAGES = "398--416",
YEAR = "1876"}

@BOOK{Klein2,
AUTHOR = "Klein, Felix",
TITLE ="{\"Uber Riemanns Theorie der
algebraischen Funktionen und ihrer Integrale. --- Eine
Erg\"anz\-ung der gew\"ohnlichen Darstellungen.}",
PUBLISHER = "B. G. Teubner",
ADDRESS = "Leipzig",
YEAR = "1882"}

@ARTICLE{Klein3,
AUTHOR = "Klein, Felix",
TITLE = "{\"Uber Realit\"atsverh\"altnisse
bei der einem beliebigen Geschlechte zu\-ge\-h\"o\-ri\-gen
Normalkurve
der $\varphi$}",
JOURNAL = "Math. Annalen",
VOLUME = "42",
YEAR = "1892"}


@inproceedings {AhlforsBeurling,
    AUTHOR = {Ahlfors, Lars V. and Beurling, A.},
     TITLE = {Conformal invariants},
 BOOKTITLE = {Construction and applications of conformal maps. Proceedings
              of a symposium},
     PAGES = {243--245},
 PUBLISHER = {U. S. Government Printing Office},
   ADDRESS = {Washington, D. C.},
      YEAR = {1952},
   MRCLASS = {30.0X},
  MRNUMBER = {14,861b},
MRREVIEWER = {J. Lelong-Ferrand},
}

@article {Tanaka,
    AUTHOR = {Tanaka, Hiroshi},
     TITLE = {A generalization of {K}oebe's theorem to a {R}iemann surface},
   JOURNAL = {Hokkaido Math. J.},
  FJOURNAL = {Hokkaido Mathematical Journal},
    VOLUME = {10},
      YEAR = {1981},
     PAGES = {672--684},
      ISSN = {0385-4035},
     CODEN = {HMAJDN},
   MRCLASS = {30F25 (30C85)},
  MRNUMBER = {84j:30085},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {Emelcyanov:RiemannSphere,
    AUTHOR = {Emel{\cprime}yanov, E. G.},
     TITLE = {Conformally invariant functionals on the {R}iemann sphere},
   JOURNAL = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
              (POMI)},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie.
              Matematicheski\u\i\ Institut im. V. A. Steklova. Zapiski
              Nauchnykh Seminarov (POMI)},
    VOLUME = {276},
      YEAR = {2001},
    NUMBER = {Anal. Teor. Chisel i Teor. Funkts. 17},
     PAGES = {134--154, 350--351},
      ISSN = {0373-2703},
   MRCLASS = {30C50 (30C75 30F15)},
  MRNUMBER = {1 850 366},
MRREVIEWER = {Alexander Vasil{\cprime}ev},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {Emelcyanov:ExtremalDeocmopistions,
    AUTHOR = {Emel{\cprime}yanov, E. G.},
     TITLE = {Problems of extremal decomposition in spaces of {R}iemann
              surfaces},
   JOURNAL = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
              (POMI)},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie.
              Matematicheski\u\i\ Institut im. V. A. Steklova. Zapiski
              Nauchnykh Seminarov (POMI)},
    VOLUME = {263},
      YEAR = {2000},
    NUMBER = {Anal. Teor. Chisel. i Teor. Funkts. 16},
     PAGES = {84--104, 239},
      ISSN = {0373-2703},
   MRCLASS = {30F60 (30C35 30C75)},
  MRNUMBER = {2001f:30054},
MRREVIEWER = {Alexander Vasil{\cprime}ev},
}

@article {Jenkins:Modulus,
    AUTHOR = {Jenkins, James A.},
     TITLE = {On the existence of certain general extremal metrics},
   JOURNAL = {Ann. of Math. (2)},
    VOLUME = {66},
      YEAR = {1957},
     PAGES = {440--453},
   MRCLASS = {30.0X},
  MRNUMBER = {19,845g},
MRREVIEWER = {L. V. Ahlfors},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {Vasilcev:QuadraticDiffs,
    AUTHOR = {Vasil{\cprime}ev, Alexander},
     TITLE = {Quadratic differentials with regular trajectories and the
              {T}eichm\"uller metric},
   JOURNAL = {Rev. Roumaine Math. Pures Appl.},
  FJOURNAL = {Revue Roumaine de Math\'ematiques Pures et Appliqu\'ees.
              Romanian Journal of Pure and Applied Mathematics},
    VOLUME = {44},
      YEAR = {1999},
    NUMBER = {4},
     PAGES = {653--661 (2000)},
      ISSN = {0035-3965},
   MRCLASS = {30F60},
  MRNUMBER = {1 843 222},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {Vasilcev:ModuliOfFamiliesOfCurves,
    AUTHOR = {Vasil{\cprime}ev, A. Yu.},
     TITLE = {Moduli of families of curves, and invariant metrics on the
              {T}eichm\"uller space},
   JOURNAL = {Sibirsk. Mat. Zh.},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Sibirskoe Otdelenie. Institut
              Matematiki im. S. L. Soboleva. Sibirski\u\i\
              Matematicheski\u\i\ Zhurnal},
    VOLUME = {37},
      YEAR = {1996},
    NUMBER = {5},
     PAGES = {986--994, i},
      ISSN = {0037-4474},
   MRCLASS = {32G15 (30F45 30F60)},
  MRNUMBER = {99g:32036},
MRREVIEWER = {Vasily A. Chernecky},
}
@preamble{
   "\def\cprime{$'$} "
}
@article {Vasilcev:Def_Of_Teich_Metric_Using_MOduli_Of_Curves,
    AUTHOR = {Vasil{\cprime}ev, A. Yu.},
     TITLE = {Homotopies of curves and mappings, and the {T}eichm\"uller
              metric},
   JOURNAL = {Mat. Zametki},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Matematicheskie Zametki},
    VOLUME = {59},
      YEAR = {1996},
    NUMBER = {6},
     PAGES = {923--926},
      ISSN = {0025-567X},
   MRCLASS = {30F60 (30C62)},
  MRNUMBER = {98a:30058},
}


@ARTICLE{Leray,
  AUTHOR =       "Leray, Jean",
  TITLE =        "Les problemes de representation conforme {d'Helmholtz;} theories des sillages et des proues",
  JOURNAL =      "Comment. Math. Helv.",
  YEAR =         "1935",
  volume =       "8",
  pages =        "149--180, 250--263",
}
@preamble{
   "\def\cprime{$'$} "
}
@article {Vasilcev:Harmonic,
    AUTHOR = {Vasil{\cprime}ev, A. Yu.},
     TITLE = {Harmonic properties of the modulus of a family of curves, and
              invariant metrics on a {T}eichm\"uller space},
   JOURNAL = {Dokl. Akad. Nauk},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Doklady Akademii Nauk},
    VOLUME = {341},
      YEAR = {1995},
    NUMBER = {5},
     PAGES = {583--584},
      ISSN = {0869-5652},
   MRCLASS = {30F30 (30C70 30F15 30F45 30F60 32G15)},
  MRNUMBER = {96g:30078},
MRREVIEWER = {V. V. Chueshev},
}

@preamble{
   "\def\cprime{$'$} "
}
@article {Emelyanov:ExtremalDecompositions,
    AUTHOR = {Emel{\cprime}yanov, E. G.},
     TITLE = {Extremal decompositions of a {R}iemann surface, and
              quasi-conformal mappings of a special form},
   JOURNAL = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
              (POMI)},
  FJOURNAL = {Rossi\u\i skaya Akademiya Nauk. Sankt-Peterburgskoe Otdelenie.
              Matematicheski\u\i\ Institut im. V. A. Steklova. Zapiski
              Nauchnykh Seminarov (POMI)},
    VOLUME = {254},
      YEAR = {1998},
    NUMBER = {Anal. Teor. Chisel. i Teor. Funkts. 15},
     PAGES = {108--115, 246},
      ISSN = {0373-2703},
   MRCLASS = {30F45 (30C62 30F60)},
  MRNUMBER = {2000f:30029},
MRREVIEWER = {Vasily A. Chernecky},
}


@INCOLLECTION{Ahlfors:Complex,
AUTHOR = "Lars V. Ahlfors",
TITLE = "The complex analytic structure of
the space of closed {R}iemann surfaces",
BOOKTITLE = "Analytic Functions",
EDITOR = "Rolf Nevanlinna et. al.",
PUBLISHER = "Princeton University Press",
YEAR ="1960",
PAGES = "45 -- 66"}




@ARTICLE{Ahlfors:JAnalys,
AUTHOR = "Lars V. Ahlfors",
TITLE = "On quasiconformal mappings",
JOURNAL = "J. Analyse Math.",
VOLUME = "III",
YEAR ="1954",
PAGES = "1 -- 58"}


@BOOK{Bourbaki,
AUTHOR = "Bourbaki, N.",
TITLE = "Vari{\'e}t{\'e}s diff{\'e}rentielles et analytiques",
PUBLISHER = "Hermann",
YEAR = "1967",
SERIES = "El{\'e}ments de math{\'e}matique {XXXIII}"}

@INCOLLECTION{Cartan,
AUTHOR = "Henri Cartan",
TITLE = "Expos{\'e} 12. {Q}uotient {d'un} vari{\'e}t{\'e} analytique par un
     groupe discret {d'a}utomorphismes",
BOOKTITLE = "Seminaire {H}enri {C}artan 1953/1954",
PUBLISHER = "{W. A. Benjamin, Inc.}",
YEAR = "1967",
ADDRESS = "New York  -- Amsterdam",
NOTE =  "S{\'e}minaire {E. N. S.}, 1953 -- 1954"}


@INCOLLECTION{Royden:Automorphisms,
 AUTHOR ="H.L. Royden",
 TITLE ="{A}utomorphisms and isometries of {T}eichm{\"u}ller space",
 BOOKTITLE = "Advances in the {T}heory of {R}iemann {S}urfaces",
 SERIES = "Ann. of Math. Studies",
 EDITOR = "{Lars V.\ Ahlfors et al.}",
 VOLUME ="66",
 YEAR ="1971",
 PAGES ="369--383"}


@ARTICLE{LiZhong,
AUTHOR = "Li Zhong",
TITLE = "{N}onuniqueness of {G}eodesics in {I}nfinite {D}imensional
        {T}eichm{\"u}ller spaces",
JOURNAL = "Research Report",
NUMBER = "29",
PUBLISHER = "Insitute of Mathematics and Department of Mathematics, Peking
        University, Beijing, China",
YEAR = "1990",
PAGES = "1 -- 25"}


 @INPROCEEDINGS{Royden:Isometries,
   TITLE = "Automorphisms and isometries of {T}eichm{\"u}ller space",
   AUTHOR = "Royden, H. L.",
   BOOKTITLE = "Proceedings of the Romanian-Finnish Seminar on
       Teichm{\"u}ller Spaces  and Quasiconformal Mappings, Brasov 1969",
   EDITOR = "Cabiria Andreian Cazacu",
   PUBLISHER = "Publishing House of the Academy of the
         Socialist Republic of Romania",
   YEAR = "1971",
   PAGES = "273 -- 286"}


 @ARTICLE{MS:Thesis,
   AUTHOR = "Mika Sepp{\"a}l{\"a}",
   JOURNAL = "Ann. Acad. Sci. Fenn. Ser. A I Mathematica Dissertationes",
   VOLUME  = "15",
   PAGES = "1 -- 37",
   TITLE = "Teichm{\"u}ller {S}paces of {K}lein {S}urfaces",
   YEAR = "1978"}



@BOOK{Gardiner,
AUTHOR = "Frederick P. Gardiner",
TITLE = "Teichm{\"u}ller Theory and Quadratic Differentials",
PUBLISHER = "John Wiley \& Sons",
ADDRESS = "New York Chichester Brisbane Toronto Singapore",
YEAR ="1987",
SERIES =  "A Wiley--Interscience of Series of Texts, Monographs, and
Tracts"}