Geometry & Topology Volume 15, issue 4 (2011)

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Coarse differentiation and quasi-isometries of a class of solvable Lie groups I

Irine Peng

Geometry & Topology 15 (2011) 1883–1925

DOI: 10.2140/gt.2011.15.1883

Bibliography

1	L Auslander, An exposition of the structure of solvmanifolds, I: Algebraic theory, Bull. Amer. Math. Soc. 79 (1973) 227 MR0486307
2	M R Bridson, S M Gersten, The optimal isoperimetric inequality for torus bundles over the circle, Quart. J. Math. Oxford Ser. $(2)$ 47 (1996) 1 MR1380947
3	T Dymarz, Large scale geometry of certain solvable groups, Geom. Funct. Anal. 19 (2010) 1650 MR2594617
4	T Dymarz, I Peng, Bilipschitz maps of boundaries of certain negatively curved homogeneous spaces, Geom. Dedicata 152 (2011) 129
5	A Dyubina, Instability of the virtual solvability and the property of being virtually torsion-free for quasi-isometric groups, Internat. Math. Res. Notices (2000) 1097 MR1800990
6	A Eskin, D Fisher, K Whyte, Quasi-isometries and rigidity of solvable groups, Pure Appl. Math. Q. 3 (2007) 927 MR2402598
7	A Eskin, D Fisher, K Whyte, Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs arXiv:math/0607207
8	A Eskin, D Fisher, K Whyte, Coarse differentiation of quasi-isometries II: Rigidity for Sol and Lamplighter groups arXiv:0706.0940
9	Y Guivarc’h, Sur la loi des grands nombres et le rayon spectral d'une marche aléatoire, from: "Conference on Random Walks (Kleebach, 1979)", Astérisque 74, Soc. Math. France (1980) 47, 3 MR588157
10	D V Osin, Exponential radicals of solvable Lie groups, J. Algebra 248 (2002) 790 MR1882124
11	I Peng, Coarse differentiation and quasi-isometries of a class of solvable Lie groups II, Geom. Topol. 15 (2011) 1927