On quasi-isometric nilpotent Lie groups

  • 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.

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Metadaten
Author:Manuel AmannGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/83638
URL:https://arxiv.org/abs/1710.04542v2
Parent Title (English):arXiv
Type:Preprint
Language:English
Year of first Publication:2017
Release Date:2021/02/21
Issue:arXiv:1710.04542
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Differentialgeometrie