含无穷多个全测地曲面的双曲 3-流形的算术性
几何拓扑
2019-09-04 v2 动力系统
群论
摘要
我们证明:若闭双曲 3-流形 M 包含无穷多个全测地曲面,则 M 是算术的。
引用
@article{arxiv.1902.07267,
title = {Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces},
author = {Gregory Margulis and Amir Mohammadi},
journal= {arXiv preprint arXiv:1902.07267},
year = {2019}
}
备注
This is a more detailed version of arXiv:1902.07267v1