English

On quasi-isometric nilpotent Lie groups

Group Theory 2017-11-21 v2 Algebraic Topology

Abstract

In this article we provide evidence for a well-known conjecture which states that quasi-isometric simply-connected nilpotent Lie groups are isomorphic. We do so by constructing new examples which are rigid in the sense that whenever they are quasi-isometric to any other simply-connected nilpotent Lie group, the groups are actually isomorphic.

Keywords

Cite

@article{arxiv.1710.04542,
  title  = {On quasi-isometric nilpotent Lie groups},
  author = {Manuel Amann},
  journal= {arXiv preprint arXiv:1710.04542},
  year   = {2017}
}

Comments

some minor updates and corrections

R2 v1 2026-06-22T22:11:33.938Z