Topological superrigidity and Anosov actions of lattices

R. Feres; F. Labourie

Annales scientifiques de l'École Normale Supérieure (1998)

  • Volume: 31, Issue: 5, page 599-629
  • ISSN: 0012-9593

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Feres, R., and Labourie, F.. "Topological superrigidity and Anosov actions of lattices." Annales scientifiques de l'École Normale Supérieure 31.5 (1998): 599-629. <http://eudml.org/doc/82472>.

@article{Feres1998,
author = {Feres, R., Labourie, F.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {superrigidity theorem; lattice actions; cohomology; semisimple groups},
language = {eng},
number = {5},
pages = {599-629},
publisher = {Elsevier},
title = {Topological superrigidity and Anosov actions of lattices},
url = {http://eudml.org/doc/82472},
volume = {31},
year = {1998},
}

TY - JOUR
AU - Feres, R.
AU - Labourie, F.
TI - Topological superrigidity and Anosov actions of lattices
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1998
PB - Elsevier
VL - 31
IS - 5
SP - 599
EP - 629
LA - eng
KW - superrigidity theorem; lattice actions; cohomology; semisimple groups
UR - http://eudml.org/doc/82472
ER -

References

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  1. [1] Y. BENOIST et F. LABOURIESur les difféomorphismes d'Anosov affines à feuilletages stables et instables différentiables, Inventiones Mathematicae, 111, 1993, pp. 285-308. Zbl0777.58029MR94d:58114
  2. [2] A. BOREL, Linear algebraic groups, Springer-Verlag, 1991. Zbl0726.20030MR92d:20001
  3. [3] R. FERES, Actions of discrete linear groups and Zimmer's conjecture, J. Diff. Geom. 42, vol. 3, 1995, pp. 544-576. Zbl0858.22011MR97a:22016
  4. [4] M. GROMOV, Rigid transformation groups, Géométrie Différentielle, Travaux en cours, 33, Hermann, Paris, 1988. Zbl0652.53023MR90d:58173
  5. [5] S. HURDER, Rigidity for Anosov actions of higher rank lattices, Ann. Math. 135, 1992, pp. 361-410. Zbl0754.58029MR93c:22018
  6. [6] J. JOURNÉ, On a regularity problem ocurring in connection with Anosov diffeomorphisms, Commun. Math. Phys. 106, 1986, pp. 345-451. Zbl0603.58019MR88b:58103
  7. [7] A. KATOK and B. HASSELBLATT, Introduction to the modern theory of dynamical systems, Cambridge University Press, 1995. Zbl0878.58020MR96c:58055
  8. [8] A. KATOK and J. LEWIS, Local rigidity for certain groups of toral automorphisms, Israel J. Math. 75, 1991, pp. 203-241. Zbl0785.22012MR93g:58076
  9. [9] A. KATOK and J. LEWIS, Global rigidity for lattice actions on tori and new examples of volume-preserving actions, Israel J. Math. Zbl0857.57038
  10. [10] A. KATOK, J. LEWIS and R. ZIMMER. Cocycle superrigidity and rigidity for lattice actions on tori, Topology, 35, no. 1, 1996, pp. 27-38. Zbl0857.57037MR97e:22009
  11. [11] I. KOLÁR, P. MICHOR and J. SLOVÁK, Natural operations in differential geometry, Springer-Verlag, 1993. Zbl0782.53013MR94a:58004
  12. [12] G. A. MARGULIS, Discrete subgroups of semisimple Lie groups, Springer-Verlag, 1989. Zbl0732.22008
  13. [13] G. PRASAD and M. S. RAGHUNATHAN, Cartan subgroups and lattices in semi-simple groups, Ann. Math. 98, 1972, pp. 296-317. Zbl0245.22013MR46 #1965
  14. [14] N. QIAN, Topological deformation rigidity of higher rank lattice actions, Math. Res. Lett. 1, 1994, pp. 485-499. Zbl0836.22016MR95i:58144
  15. [15] YA. G. SINAI (Ed.), Dynamical systems II, Encyclopaedia of Mathematical Sciences, Vol. 2, Springer-Verlag, 1989. Zbl0778.00014MR91i:58079
  16. [16] V. S. VARADARAJAN, Lie groups, Lie algebras, and their representations, Springer-Verlag, 1984. Zbl0955.22500MR85e:22001
  17. [17] R. ZIMMER, Ergodic theory and semisimple groups, Monographs in Mathematics, Birkhäuser, 1984. Zbl0571.58015MR86j:22014
  18. [18] R. ZIMMER, Topological superrigidity, lecture notes, University of Chicago, 1992. 

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