负截面捏紧 Hadamard 流形中的几何无穷性
群论
2018-12-24 v3 微分几何
几何拓扑
摘要
在本文中，我们将 Bonahon 对 PSL(2, ) 的几何无穷无挠离散子群的特征刻画推广到负截面捏紧 Hadamard 流形 的等距变换的几何无穷离散子群 。随后我们推广 Bishop 的一个定理，证明每个离散的几何无穷等距子群 都有一组基数与连续统相同的非锥形极限点。
引用
@article{arxiv.1801.08239,
title = {Geometric finiteness in negatively pinched Hadamard manifolds},
author = {Michael Kapovich and Beibei Liu},
journal= {arXiv preprint arXiv:1801.08239},
year = {2018}
}
备注
We improved our results to any discrete geometrically infinite isometry subgroup of a negatively pinched Hadamard manifold, and we sharpened our main results to deal with limit sets of ends of the convex core