Complex rigidity of Teichmu"ller spaces

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We outline old and new results concerning the well-known problems in the Teichmu¨ ller space theory, i.e., whether these spaces are starlike in the Bers holomorphic embedding and whether any Teichmu¨ ller space of dimension greater than 1 is biholomorhically equivalent to bounded convex domain in a complex Banach space.

Teichmu¨ ller spaces, holomorphic embeddings, schwarzian derivative, convex domain, starlike, holomorphic section, conformally rigid do- main, uniformly convex banach space

Короткий адрес: https://sciup.org/14968864

IDR: 14968864   |   DOI: 10.15688/jvolsu1.2016.6.10

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