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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 4, Pages 780–808 (Mi smj1106)  
This article is cited in 10 scientific papers (total in 10 papers)

Complex geometry of the universal Teichmüller space

S. L. Krushkal'ab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Bar-Ilan University
Full-text PDF (385 kB) Citations (10)
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Abstract: We prove that all invariant distances on the universal Teichmüller space agree and are determined by the Grunsky coefficients of the naturally related conformal maps. This fact yields various important consequences; in particular, we obtain solutions of certain well-known geometric problems in complex analysis and related fields.
Keywords: Teichmüller space, Teichmüller metric, invariant distances, Kobayashi metric, Carathéodory metric, Grunsky coefficients, Green's function, plurisubharmonic function.
Received: 30.09.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 4, Pages 646–668
DOI: https://doi.org/10.1023/B:SIMJ.0000035830.46662.75
Bibliographic databases:
UDC: 517.54, 517.55
Language: Russian
Citation: S. L. Krushkal', “Complex geometry of the universal Teichmüller space”, Sibirsk. Mat. Zh., 45:4 (2004), 780–808; Siberian Math. J., 45:4 (2004), 646–668
Citation in format AMSBIB
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\paper Complex geometry of the universal Teichm\"uller space
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\pages 780--808
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 4
\pages 646--668
\crossref{https://doi.org/10.1023/B:SIMJ.0000035830.46662.75}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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