Coarse differentiation and quasi-isometries of a class of solvable Lie groups. I.
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Publication:640349
DOI10.2140/gt.2011.15.1883zbMath1235.51019arXiv0802.2596OpenAlexW2143822385WikidataQ115231049 ScholiaQ115231049MaRDI QIDQ640349
Publication date: 18 October 2011
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0802.2596
Related Items (11)
A fibered Tukia theorem for nilpotent Lie groups ⋮ Geometry and rigidity of mapping class groups. ⋮ Coarse differentiation and quasi-isometries of a class of solvable Lie groups. II. ⋮ Large scale geometry of negatively curved \(\mathbb{R}^n\rtimes\mathbb{R}\) ⋮ Sublinear quasiconformality and the large-scale geometry of Heintze groups ⋮ On the quantitative quasi-isometry problem: transport of Poincaré inequalities and different types of quasi-isometric distortion growth ⋮ Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces ⋮ Heat flow and quantitative differentiation ⋮ Rigidity of Teichmüller space ⋮ Residual finiteness and strict distortion of cyclic subgroups of solvable groups ⋮ Non-rectifiable Delone sets in SOL and other solvable groups
Cites Work
- Coarse differentiation of quasi-isometries. I: Spaces not quasi-isometric to Cayley graphs
- Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces
- Coarse differentiation and quasi-isometries of a class of solvable Lie groups. II.
- Quasi-isometries and rigidity of solvable groups
- Exponential radicals of solvable Lie groups
- Coarse differentiation of quasi-isometries. II: Rigidity for Sol and lamplighter groups
- Large scale geometry of certain solvable groups.
- An exposition of the structure of solvmanifolds. Part I: Algebraic theory
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