Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica
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Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, Issue 6(37), Pages 108–118
DOI: https://doi.org/10.15688/jvolsu1.2016.6.10 (Mi vvgum150) 		 
Mathematics

Complex rigidity of Teichmüller spaces

S. L. Krushkal'

Bar-Ilan University, Ramat Gan
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DOI: https://doi.org/10.15688/jvolsu1.2016.6.10
Abstract: We outline old and new results concerning the well-known problems in the Teichmüller space theory, i.e., whether these spaces are starlike in the Bers holomorphic embedding and whether any Teichmüller space of dimension greater than $1$ is biholomorhically equivalent to bounded convex domain in a complex Banach space.
Keywords: Teichmüller spaces, holomorphic embeddings, Schwarzian derivative, convex domain, starlike, holomorphic section, conformally rigid domain, uniformly convex Banach space.
Document Type: Article
UDC: 517.547
BBC: 22.161.5
Language: English
Citation: S. L. Krushkal', “Complex rigidity of Teichmüller spaces”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica, 2016, no. 6(37), 108–118
Citation in format AMSBIB
\Bibitem{Kru16}
\by S.~L.~Krushkal'
\paper Complex rigidity of Teichm\"uller spaces
\jour Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Mathematica. Physica
\yr 2016
\issue 6(37)
\pages 108--118
\mathnet{http://mi.mathnet.ru/vvgum150}
\crossref{https://doi.org/10.15688/jvolsu1.2016.6.10}
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