Many cusped hyperbolic 3-manifolds do not bound geometrically
Many cusped hyperbolic 3-manifolds do not bound geometrically
复制标题
许多尖双曲 3 流形不具有几何约束
DOI：
10.1090/proc/14573
复制
发表时间：
2018
影响因子：
1
通讯作者：
Stefano Riolo
中科院分区：
文献类型：
--
作者：
A. Kolpakov;Alan W. Reid;Stefano Riolo
本文证明了存在尖点双曲
3
3
- 流形，嵌入测地线，但不能绑定几何。因此，作为几何边界是这种流形的非平凡性质。我们的结果补充了Long和Reid关于紧双曲型的几何边界的工作
4
4
和Kolpakov，里德，和Slavich嵌入算术双曲流形。
In this note we show that there exist cusped hyperbolic
3
3
-manifolds that embed geodesically but cannot bound geometrically. Thus, being a geometric boundary is a non-trivial property for such manifolds. Our result complements the work by Long and Reid on geometric boundaries of compact hyperbolic
4
4
-manifolds and by Kolpakov, Reid, and Slavich on embedding arithmetic hyperbolic manifolds.