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.
Author: | Manuel AmannGND |
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Frontdoor URL | https://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 |