A Riemannian metric on hyperbolic components

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2023-12-15 DOI:10.4310/mrl.2023.v30.n3.a6

Yan Mary He, Hongming Nie

引用次数: 0

Abstract

We introduce a Riemannian metric on certain hyperbolic components in the moduli space of degree at least $2$ rational maps in one complex variable. Our metric is constructed by considering the measure-theoretic entropy of a rational map with respect to some equilibrium state.

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双曲分量上的黎曼度量

我们在单复变度数至少为 2$ 的有理映射的模空间中的某些双曲分量上引入了一个黎曼度量。我们的度量是通过考虑有理映射相对于某种平衡态的度量理论熵来构建的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.