Email this article Convexity and Teichmüller spaces
- Authors: Krushkal S.L.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 38, No 2 (2017)
- Pages: 307-314
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199004
- DOI: https://doi.org/10.1134/S1995080217020135
- ID: 199004
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Abstract
We provide a negative answer to Royden’s problem whether any finite dimensional Teichmüller space of dimension greater than 1 is biholomorhically equivalent to a bounded convex domain in complex Euclidean space.
We prove that any Teichmüller space T(0, n) of punctured spheres with a sufficiently large number n ≥ n0 > 4 of punctures cannot be mapped biholomorphically onto a bounded convex domain in ℂn−3.
About the authors
S. L. Krushkal
Department of Mathematics; Department of Mathematics
Author for correspondence.
Email: slk6z@eservices.virginia.edu
Israel, Ramat-Gan, 52900; Charlottesville, VA, 22904-4137
