非正曲率空间的等距群：结构理论
群论
2010-01-18 v2 几何拓扑
度量几何
摘要
我们发展了局部紧非正曲率度量空间的全等距群的结构理论。讨论的主题包括de Rham分解、正规子群结构以及对称空间和Bruhat-Tits建筑的刻画性质。对离散群的应用以及关于非正曲率格点的进一步进展在配套论文“非正曲率空间的等距群：离散子群”中阐述。
引用
@article{arxiv.0809.0457,
title = {Isometry groups of non-positively curved spaces: structure theory},
author = {P. -E. Caprace and N. Monod},
journal= {arXiv preprint arXiv:0809.0457},
year = {2010}
}
备注
The original version (September 2, 2008) has been split into two articles. This is the first part; the second is available as of today on the arxiv under the title: "Isometry groups of non-positively curved spaces: discrete subgroups"