Geometry & Topology Volume 22, issue 5 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Quasi-isometric embeddings of symmetric spaces

David Fisher and Kevin Whyte

Geometry & Topology 22 (2018) 3049–3082

DOI: 10.2140/gt.2018.22.3049

Bibliography

1	J Behrstock, M F Hagen, A Sisto, Quasiflats in hierarchically hyperbolic spaces, preprint (2017) arXiv:1704.04271
2	M Bonk, O Schramm, Embeddings of Gromov hyperbolic spaces, Geom. Funct. Anal. 10 (2000) 266 MR1771428
3	N Brady, B Farb, Filling-invariants at infinity for manifolds of nonpositive curvature, Trans. Amer. Math. Soc. 350 (1998) 3393 MR1608281
4	C Druţu, Quasi-isometric classification of non-uniform lattices in semisimple groups of higher rank, Geom. Funct. Anal. 10 (2000) 327 MR1771426
5	A Eskin, Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces, J. Amer. Math. Soc. 11 (1998) 321 MR1475886
6	A Eskin, B Farb, Quasi-flats and rigidity in higher rank symmetric spaces, J. Amer. Math. Soc. 10 (1997) 653 MR1434399
7	B Farb, The quasi-isometry classification of lattices in semisimple Lie groups, Math. Res. Lett. 4 (1997) 705 MR1484701
8	D Fisher, T Nguyen, Quasi-isometric embeddings of non-uniform lattices, preprint (2015) arXiv:1512.07285
9	T Foertsch, Bilipschitz embeddings of negative sectional curvature in products of warped product manifolds, Proc. Amer. Math. Soc. 130 (2002) 2089 MR1896045
10	M Gromov, Infinite groups as geometric objects, from: "Proceedings of the International Congress of Mathematicians" (editors Z Ciesielski, C Olech), PWN (1984) 385 MR804694
11	J Huang, Top-dimensional quasiflats in CAT(0) cube complexes, Geom. Topol. 21 (2017) 2281 MR3654109
12	B Kleiner, B Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. 86 (1997) 115 MR1608566
13	B Kleiner, B Leeb, Rigidity of invariant convex sets in symmetric spaces, Invent. Math. 163 (2006) 657 MR2207236
14	A W Knapp, Lie groups beyond an introduction, 140, Birkhäuser (2002) MR1920389
15	E Leuzinger, Corank and asymptotic filling-invariants for symmetric spaces, Geom. Funct. Anal. 10 (2000) 863 MR1791143
16	L Mosher, M Sageev, K Whyte, Quasi-actions on trees, II : Finite depth Bass–Serre trees, 1008, Amer. Math. Soc. (2011) MR2867450
17	T Nguyen, Quasi-isometric embeddings of symmetric spaces and lattice: the reducible setting, in preparation
18	P Pansu, Métriques de Carnot–Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. 129 (1989) 1 MR979599