Krushkal S.L. Complex Rigidity of Teichmüller Spaces

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https://doi.org/10.15688/jvolsu1.2016.6.10

Samuel L. Krushkal
Doctor of Physical and Mathematical Sciences, Professor, Department of Mathematics,
BarIlan University, RamatGan, 5290002, Israel,
University of Virginia, Charlottesville, VA 229044137, USA
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Abstract. We outline old and new results concerning the wellknown problems in the Teichmuller space theory, i.e., whether these spaces are starlike in the Bers holomorphic embedding and whether any Teichmuller space of dimension greater than 1 is biholomorhically equivalent to bounded convex domain in a complex Banach space.

Key words: Teichmuller spaces, holomorphic embeddings, Schwarzian derivative, convex domain, starlike, holomorphic section, conformally rigid domain, uniformly convex Banach space.

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Complex Rigidity of Teichmüller Spaces by Krushkal S.L. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №6 (37) 2016 pp. 108-118

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