References
M. Gromov,Rigid transformation groups. InGeometrie Differentielle. (Ed. D. Bernard, Y. Choquet-Bruhat) Herman, Paris, 1988.
S. Hurder andA. Katok,Ergodic theory and Weil measures for foliations. Annals of Math.,126, 121–175 (1987).
G. A. Margulis,Discrete Subgroups of Lie Groups. Springer (to appear).
V. I. Oseledec, A multiplicative ergodic theorem. Translations Amer. Math. Soc.,19, 197–231 (1968).
G. Stuck,Cocycles of group actions and vanishing of first cohomology for S-arithmetic groups (preprint).
G. Stuck,On characteristic classes of actions of lattices in higher rank Lie groups, Trans. Amer. Math. Soc., to appear.
R. J. Zimmer,Ergodic Theory and Semisimple Groups. Birkhauser Boston, 1984.
R. J. Zimmer,Orbit equivalence and rigidity of ergodic actions of Lie groups. Erg. Th. Dyn. Syst.,1, 237–253 (1981).
R. J. Zimmer,Ergodic theory and the automorphism group of a G-structure. InGroup representations, ergodic theory, operator algebras, and mathematical physics. (Ed. C. C. Moore) pp. 247–278. Springer, New York 1987.
R. J. Zimmer,Lattices in semisimple groups and invariant geometric structures on compact manifolds. InDiscrete groups in geometry and analysis. (Ed. R. Howe), pp. 152–210 Birkhauser, Boston 1987.
R. J. Zimmer,Representations of fundamental groups of manifolds with a semisimple transformation group. Jour. A.M.S.,2(1989), 201–213.
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Partially supported by NSF Grant.
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Zimmer, R.J. On the algebraic hull of an automorphism group of a principal bundle. Commentarii Mathematici Helvetici 65, 375–387 (1990). https://doi.org/10.1007/BF02566614
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DOI: https://doi.org/10.1007/BF02566614