关于圆微分同胚的投影导数共循环

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2020-12-14 DOI:10.4310/mrl.2022.v29.n6.a10

A. Navas, M. Ponce

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引用次数: 1

摘要

我们研究了圆微分同胚群上作为Mobius变换的并环的投影导数。通过计算这个共循环的精确表达式，我们得到了关于可约性和几乎可约性的几个结果。我们还将此并环的一个推广推广到3-环面上的对角作用，并推广了先前的结果。

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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On the projective derivative cocycle for circle diffeomorphisms

We study the projective derivative as a cocycle of Mobius transformations over groups of circle diffeomorphisms. By computing precise expressions for this cocycle, we obtain several results about reducibility and almost reducibility to a cocycle of rotations. We also introduce an extension of this cocycle to the diagonal action on the 3-torus for which we generalize the previous results.

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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.