Convexity and Teichmüller spaces
- 作者: Krushkal S.1
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隶属关系:
- Department of Mathematics
- 期: 卷 38, 编号 2 (2017)
- 页面: 307-314
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199004
- DOI: https://doi.org/10.1134/S1995080217020135
- ID: 199004
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详细
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.
作者简介
S. Krushkal
Department of Mathematics; Department of Mathematics
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