全增强链路中的嵌入式完全大地曲面

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2024-01-04 DOI:10.4310/cag.2023.v31.n3.a2

Sierra Knavel, Rolland Trapp

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引用次数: 0

摘要

本文研究全增强链接补集中的内嵌全大地曲面。不足为奇的是，不存在封闭的内嵌全大地曲面。与交叉盘不相交的非紧凑曲面被视为与标准单元分解正交的点状球面，而与交叉盘相交的曲面则以非常有限的方式相交。最后，我们证明了任何棋盘曲面都有一个增量，在这个增量中，该曲面成为完全测地曲面。

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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Embedded totally geodesic surfaces in fully augmented links

This paper studies embedded totally geodesic surfaces in fully augmented link complements. Not surprisingly, there are no closed embedded totally geodesic surfaces. Non-compact surfaces disjoint from crossing disks are seen to be punctured spheres orthogonal to the standard cell decomposition, while those that intersect crossing disks do so in very restricted ways. Finally we show there is an augmentation of any checkerboard surface in which that surface becomes totally geodesic.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.