Symmetries of hyperbolic spatial graphs and realization of graph symmetries

被引：0
|
作者：
Toru Ikeda
机构：
[1] Kindai University,Department of Mathematics
来源：
Journal of Geometry | 2024年 / 115卷
关键词：
3-manifold; symmetry; hyperbolic structure; spatial graph; 57M15; 57M60; 55M35; 57M25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In a closed connected orientable 3-manifold associated with an orientation-preserving smooth finite group action, we construct setwise invariant hyperbolic spatial graphs with given singularity. As an application, we provide a condition under which symmetries of abstract graphs are realizable by symmetries of the 3-sphere through hyperbolic spatial embeddings.
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