从几何测度论刻画Cannon猜想的候选对象
几何拓扑
2023-02-27 v2 微分几何
群论
摘要
我们表明，Song近期的工作意味着：具有Gromov边界的无挠双曲群被实现为常负曲率闭三维流形的基本群，当且仅当 associated 群同调的球Plateau问题的解等距于这样一个三维流形，并提出了一些相关问题。
引用
@article{arxiv.2207.01720,
title = {Characterizing candidates for Cannon's Conjecture from Geometric Measure Theory},
author = {Tamunonye Cheetham-West and Alexander Nolte},
journal= {arXiv preprint arXiv:2207.01720},
year = {2023}
}
备注
7 pages. This is the accepted version of the following article: Cheetham-West, T. and Nolte, A. (2023), Characterizing candidates for Cannon's conjecture from geometric measure theory. Bull. London Math. Soc.. https://doi.org/10.1112/blms.12814, which has been published in final form at http://doi.org/10.1112/blms.12814