caa a22 4500 445884673 CHVBK 20180317145555.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s10711-010-9548-x doi (NATIONALLICENCE)springer-10.1007/s10711-010-9548-x Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces [Elektronische Daten] [Tullia Dymarz, Irine Peng] In this paper we study certain groups of bilipschitz maps of the boundary minus a point of a negatively curved space of the form $${\mathbb{R} \ltimes_{M} \mathbb{R}^{n}}$$ , 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. Springer Science+Business Media B.V., 2011 Quasi-isometric rigidity nationallicence Solvable Lie groups nationallicence Uniform subgroups of quasi-conformal maps nationallicence Dymarz Tullia Université Paris-Sud 11, Orsay, France aut Peng Irine Indiana University, 831 East 3rd St., 47405, Bloomington, IN, USA aut Geometriae Dedicata Springer Netherlands 152/1(2011-06-01), 129-145 0046-5755 152:1<129 2011 152 10711 https://doi.org/10.1007/s10711-010-9548-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10711-010-9548-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dymarz Tullia Université Paris-Sud 11, Orsay, France aut NATIONALLICENCE 700 1- Peng Irine Indiana University, 831 East 3rd St., 47405, Bloomington, IN, USA aut NATIONALLICENCE 773 0- Geometriae Dedicata Springer Netherlands 152/1(2011-06-01), 129-145 0046-5755 152:1<129 2011 152 10711 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer