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Complex Geometry of the Universal Teichmuller Space

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Abstract

We prove that all invariant distances on the universal Teichmuller 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.

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Authors and Affiliations

  1. Bar-Ilan University, Ramat Gan

    S. L. Krushkal

  2. Sobolev Institute of Mathematics, Novosibirsk

    S. L. Krushkal

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Krushkal, S.L. Complex Geometry of the Universal Teichmuller Space. Siberian Mathematical Journal 45, 646–668 (2004). https://doi.org/10.1023/B:SIMJ.0000035830.46662.75

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