Coarse differentiation of quasi-isometries II: Rigidity for Sol and lamplighter groups

• 成果类型: Article
• 署名作者: Eskin, Alex; Fisher, David; Whyte, Kevin
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2013.177.3.2
• 发表日期: 2013
• 页码: 869-910
• 关键词: graphs

摘要

In this paper we prove quasi-isometric rigidity results concerning lattices in Sol and lamplighter groups. The paper builds in a substantial way on our earlier paper Coarse differentiation of quasi-isometries I: spaces not quasi-isometric to Cayley graphs.