接近轨道极限的K3表面上的测地线

IF 0.6 3区数学 Q3 MATHEMATICS

Annals of Global Analysis and Geometry Pub Date : 2023-04-03 DOI:10.1007/s10455-023-09898-w

Jørgen Olsen Lye

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引用次数: 2

摘要

本文研究了Kummer K3接近轨道极限的表面。由于Kobayashi，我们改进了对Calabi–Yau指标的估计。作为一个应用，我们研究了稳定闭测地线。我们使用度量估计来展示这种测地线的存在通常是如何受到限制的。我们还展示了在一些高度对称的情况下，由于超kähler恒等式，如何存在稳定的闭测地线。

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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Geodesics on a K3 surface near the orbifold limit

This article studies Kummer K3 surfaces close to the orbifold limit. We improve upon estimates for the Calabi–Yau metrics due to Kobayashi. As an application, we study stable closed geodesics. We use the metric estimates to show how there are generally restrictions on the existence of such geodesics. We also show how there can exist stable, closed geodesics in some highly symmetric circumstances due to hyperkähler identities.

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来源期刊

Annals of Global Analysis and Geometry 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal examines global problems of geometry and analysis as well as the interactions between these fields and their application to problems of theoretical physics. It contributes to an enlargement of the international exchange of research results in the field. The areas covered in Annals of Global Analysis and Geometry include: global analysis, differential geometry, complex manifolds and related results from complex analysis and algebraic geometry, Lie groups, Lie transformation groups and harmonic analysis, variational calculus, applications of differential geometry and global analysis to problems of theoretical physics.