Coarse differentiation and quasi-isometries of a class of solvable Lie groups II
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SCOPUS
- Title
- Coarse differentiation and quasi-isometries of a class of solvable Lie groups II
- Authors
- Peng, I
- Date Issued
- 2011-01
- Publisher
- Mathematical Sciences Publisher
- Abstract
- In this paper, we continue with the results in [12] and compute the group of quasi-isometries for a subclass of split solvable unimodular Lie groups. Consequently, we show that any finitely generated group quasi-isometric to a member of the subclass has to be polycyclic and is virtually a lattice in an abelian-by-abelian solvable Lie group. We also give an example of a unimodular solvable Lie group that is not quasi-isometric to any finitely generated group, as well deduce some quasi-isometric rigidity results.
- Keywords
- DIMENSION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/15684
- DOI
- 10.2140/GT.2011.15.1927
- ISSN
- 1465-3060
- Article Type
- Article
- Citation
- Geometry and topology, vol. 15, no. 4, page. 1927 - 1981, 2011-01
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