Global hypersurfaces of section for geodesic flows on convex hypersurfaces

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-07-31 DOI:10.1007/s00013-024-02018-5

Sunghae Cho, Dongho Lee

引用次数: 0

Abstract

We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admitting an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.

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凸超曲面上大地流的全局超曲面剖面

我们为欧几里得空间中允许等距内卷的凸超曲面的大地流构建了一个全局超曲面截面。这将伯克霍夫环面推广到了更高维度。

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

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.