圆锥球度规的二面体单调性

IF 0.6 Q3 MATHEMATICS

Illinois Journal of Mathematics Pub Date : 2021-12-01 DOI:10.1215/00192082-10678812

Q. Gendron, Guillaume Tahar

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引用次数: 3

摘要

在具有锥奇点的删截紧致黎曼曲面上的常正曲率度量中，二面体单调性意味着单调性群的作用全局地保持一对对对跖点。利用最近关于二次微分的局部不变量的结果，我们给出了由一些具有二面体的锥球面度量实现的锥角集的一个完整的刻画。

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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Dihedral monodromy of cone spherical metrics

Among metrics of constant positive curvature on a punctured compact Riemann surface with conical singularities at the punctures, dihedral monodromy means that the action of the monodromy group globally preserves a pair of antipodal points. Using recent results about local invariants of quadratic differentials, we give a complete characterization of the set of conical angles realized by some cone spherical metric with dihedral monodromy.

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来源期刊

Illinois Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.