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Journal of the American Mathematical Society
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Quasi-flats and rigidity in higher rank symmetric spaces

Author(s): Alex Eskin; Benson Farb
Journal: J. Amer. Math. Soc. 10 (1997), 653-692.
MSC (1991): Primary 22E40, 20F32
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References:

[BGS]
W. Ballmann, M. Gromov, and V. Schroeder, Manifolds of Nonpositive Curvature, Progress in Math. Vol. 61, Birkhauser, 1985. MR 87h:53050

[E]
A. Eskin, Quasi-isometric rigidity of higher rank nonuniform lattices, preprint.

[EF]
A. Eskin and B. Farb, Quasi-flats in ${\mathbb H}^2\times {\mathbb H}^2$, to appear in Proceedings of the Colloquium on Lie Groups and Ergodic Theory, Tata Institute (Jan 1996).

[FS]
B. Farb and R. Schwartz, The large-scale geometry of Hilbert modular groups, J. Diff. Geom. 44, No. 3, (1996) pp 435-478.

[KL]
B. Kleiner and B. Leeb, Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, to appear in Publ. IHES.

[He]
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, 1978. MR 80k:53081

[Mo]
G.D. Mostow, Strong Rigidity of Locally Symmetric Spaces, Annals of Math. Studies, No. 78, Princeton Univ. Press, 1973. MR 52:5874

[Pa]
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

[Sc]
H. Schlichtkrull, Hyperfunctions and Harmonic Analysis on Symmetric Spaces, Birkhauser, 1984. MR 86g:22021

[Ti]
J. Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Math., vol. 386, Springer-Verlag, 1974. MR 57:9866


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Additional Information:

Alex Eskin
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
Email: eskin@math.uchicago.edu

Benson Farb
Affiliation: Department of Mathematics, University of Chicago, Chicago, Illinois 60637
Email: farb@math.uchicago.edu

DOI: 10.1090/S0894-0347-97-00238-5
PII: S 0894-0347(97)00238-5
Keywords: Lie groups, discrete subgroups, geometric group theory
Received by editor(s): March 8, 1996
Received by editor(s) in revised form: March 10, 1997
Additional Notes: Both authors are supported in part by N.S.F. Postdoctoral Fellowships. The work of the second author at MSRI was supported by NSF grant DMS-9022140.
Copyright of article: Copyright 1997, American Mathematical Society


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