Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces
SCIE
SCOPUS
- Title
- Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces
- Authors
- Dymarz, T; Peng, I
- Date Issued
- 2011-06
- Publisher
- Springer
- Abstract
- In this paper we study certain groups of bilipschitz maps of the boundary minus a point of a negatively curved space of the form R x M R-n, where M is a matrix whose eigenvalues all lie outside of the unit circle. The case where M is diagonal was previously studied by Dymarz (Geom Funct Anal (GAFA) 19:1650-1687, 2009). As an application, combined with work of Eskin-Fisher-Whyte and Peng, we provide the last steps in the proof of quasi-isometric rigidity for a class of lattices in solvable Lie groups.
- Keywords
- Quasi-isometric rigidity; Solvable Lie groups; Uniform subgroups of quasi-conformal maps; RIGIDITY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/15690
- DOI
- 10.1007/S10711-010-9548-X
- ISSN
- 0046-5755
- Article Type
- Article
- Citation
- Geometriae dedicata, vol. 152, no. 1, page. 129 - 145, 2011-06
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