no. 5
Topological superrigidity and Anosov actions of lattices
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 5, pp. 599-629. 
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     author = {Feres, R. and Labourie, F.},
     title = {Topological superrigidity and {Anosov} actions of lattices},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {599--629},
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     volume = {Ser. 4, 31},
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     year = {1998},
     doi = {10.1016/s0012-9593(98)80001-3},
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     zbl = {0915.58072},
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Feres, R.; Labourie, F. Topological superrigidity and Anosov actions of lattices. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 5, pp. 599-629. doi : 10.1016/s0012-9593(98)80001-3. http://archive.numdam.org/articles/10.1016/s0012-9593(98)80001-3/

[1] Y. Benoist et F. Labourie Sur les difféomorphismes d'Anosov affines à feuilletages stables et instables différentiables, Inventiones Mathematicae, 111, 1993, pp. 285-308. | MR | Zbl

[2] A. Borel, Linear algebraic groups, Springer-Verlag, 1991. | MR | Zbl

[3] R. Feres, Actions of discrete linear groups and Zimmer's conjecture, J. Diff. Geom. 42, vol. 3, 1995, pp. 544-576. | MR | Zbl

[4] M. Gromov, Rigid transformation groups, Géométrie Différentielle, Travaux en cours, 33, Hermann, Paris, 1988. | MR | Zbl

[5] S. Hurder, Rigidity for Anosov actions of higher rank lattices, Ann. Math. 135, 1992, pp. 361-410. | MR | Zbl

[6] J. Journé, On a regularity problem ocurring in connection with Anosov diffeomorphisms, Commun. Math. Phys. 106, 1986, pp. 345-451. | MR | Zbl

[7] A. Katok and B. Hasselblatt, Introduction to the modern theory of dynamical systems, Cambridge University Press, 1995. | MR | Zbl

[8] A. Katok and J. Lewis, Local rigidity for certain groups of toral automorphisms, Israel J. Math. 75, 1991, pp. 203-241. | MR | Zbl

[9] A. Katok and J. Lewis, Global rigidity for lattice actions on tori and new examples of volume-preserving actions, Israel J. Math. | Zbl

[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. | MR | Zbl

[11] I. Kolár, P. Michor and J. Slovák, Natural operations in differential geometry, Springer-Verlag, 1993. | MR | Zbl

[12] G. A. Margulis, Discrete subgroups of semisimple Lie groups, Springer-Verlag, 1989.

[13] G. Prasad and M. S. Raghunathan, Cartan subgroups and lattices in semi-simple groups, Ann. Math. 98, 1972, pp. 296-317. | MR | Zbl

[14] N. Qian, Topological deformation rigidity of higher rank lattice actions, Math. Res. Lett. 1, 1994, pp. 485-499. | MR | Zbl

[15] Ya. G. Sinai (Ed.), Dynamical systems II, Encyclopaedia of Mathematical Sciences, Vol. 2, Springer-Verlag, 1989. | MR | Zbl

[16] V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Springer-Verlag, 1984. | MR | Zbl

[17] R. Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics, Birkhäuser, 1984. | MR | Zbl

[18] R. Zimmer, Topological superrigidity, lecture notes, University of Chicago, 1992.

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