Quasi-flats and rigidity in higher rank symmetric spaces

Journal of the American Mathematical Society

Volumn 10, Issue 3, 1997, Pages 653-692

  Eskin, Alex ^a   Farb, Benson ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

Discrete subgroups; Geometric group theory; Lie groups

Indexed keywords

EID: 0031486926     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-97-00238-5     Document Type: Article

References (10)

1. W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of Nonpositive Curvature, Progress in Math. Vol. 61, Birkhauser, 1985. MR 87h:53050
2. A. Eskin, Quasi-isometric rigidity of higher rank nonuniform lattices, preprint.
3. 2, to appear in Proceedings of the Colloquium on Lie Groups and Ergodic Theory, Tata Institute (Jan 1996).
4. B. Farb and R. Schwartz, The large-scale geometry of Hubert modular groups, J. Diff. Geom. 44, No. 3, (1996) pp 435-478.
5. B. Kleiner and B. Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, to appear in Publ. IHES.
6. S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, 1978. MR 80k:53081
7. G.D. Mostow, Strong Rigidity of Locally Symmetric Spaces, Annals of Math. Studies, No. 78, Princeton Univ. Press, 1973. MR 52:5874
8. P. Pansu, Metriques de Carnot-Caratheodory et quasiisometries des espaces symmetriques de rang un, Annals of Math. 129 (1989), pp. 1-60. MR 90e:53058
9. H. Schlichtkrull, Hyperfunctions and Harmonic Analysis on Symmetric Spaces, Birkhauser, 1984. MR 86g:22021
10. J. Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Math., vol. 386, Springer-Verlag, 1974. MR 57:9866