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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
, 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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