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Quasi-flats and rigidity
in higher rank symmetric spaces

Authors: Alex Eskin and Benson Farb
Journal: J. Amer. Math. Soc. 10 (1997), 653-692
MSC (1991): Primary 22E40, 20F32
MathSciNet review: 1434399
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  • [BGS] Werner Ballmann, Mikhael Gromov, and Viktor Schroeder, Manifolds of nonpositive curvature, Progress in Mathematics, vol. 61, Birkhäuser Boston, Inc., Boston, MA, 1985. MR 823981
  • [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] Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
  • [Mo] G. D. Mostow, Strong rigidity of locally symmetric spaces, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1973. Annals of Mathematics Studies, No. 78. MR 0385004
  • [Pa] Pierre Pansu, Métriques de Carnot-Carathéodory et quasiisométries des espaces symétriques de rang un, Ann. of Math. (2) 129 (1989), no. 1, 1–60 (French, with English summary). MR 979599,
  • [Sc] Henrik Schlichtkrull, Hyperfunctions and harmonic analysis on symmetric spaces, Progress in Mathematics, vol. 49, Birkhäuser Boston, Inc., Boston, MA, 1984. MR 757178
  • [Ti] Jacques Tits, Buildings of spherical type and finite BN-pairs, Lecture Notes in Mathematics, Vol. 386, Springer-Verlag, Berlin-New York, 1974. MR 0470099

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Additional Information

Alex Eskin

Benson Farb

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.
Article copyright: © Copyright 1997 American Mathematical Society