所有的 Teichmuller 空间都不是星形的

arXiv - MATH - Complex Variables Pub Date : 2024-07-25 DOI:arxiv-2407.18239

Samuel L. Krushkal

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引用次数: 0

摘要

本文是解决贝尔斯嵌入中的泰赫穆勒空间的星象性问题的最后一步。这一步涉及正维度的有限维特赫穆勒空间 ${mathbf T}(g, n)$ 的情况（对应于有限共形类型 $(g, n)$ 的点状黎曼曲面，2g - 2 + n > 0$）。

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All Teichmuller spaces are not starlike

This paper is the final step in solving the problem of starlikeness of Teichmuller spaces in Bers' embedding. This step concerns the case of finite dimensional Teichmuller spaces ${\mathbf T}(g, n)$ of positive dimension (corresponding to punctured Riemann surfaces of finite conformal type $(g, n)$ with $2g - 2 + n > 0$).

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arXiv - MATH - Complex Variables

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