Coarse differentiation and quasi-isometries of a class of solvable Lie groups I
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- Title
- Coarse differentiation and quasi-isometries of a class of solvable Lie groups I
- Authors
- Peng, I
- Date Issued
- 2011-01
- Publisher
- Mathematical Sciences Publisher
- Abstract
- This is the first of two papers that aim to understand quasi-isometries of a class of unimodular split solvable Lie groups. In the present paper, we show that locally (in a coarse sense), a quasi-isometry between two groups in this class is close to a map that respects their group structures. In the sequel to this paper [11], we will use this result to show quasi-isometric rigidity.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/15689
- DOI
- 10.2140/GT.2011.15.1883
- ISSN
- 1465-3060
- Article Type
- Article
- Citation
- Geometry and Topology, vol. 15, no. 4, page. 1883 - 1925, 2011-01
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