Hostname: page-component-7b7567c8c-tnzcf Total loading time: 0 Render date: 2026-11-15T01:57:07.241Z Has data issue: false hasContentIssue false
  • English
  • Français

On connection-preserving actions of discrete linear groups

Published online by Cambridge University Press:  19 September 2008

Robert J. Zimmer
Robert J. Zimmer
Affiliation:
Department of Mathematics, University of Chicago, Chicago, IL 60637, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We study actions of arithmetic groups on compact manifolds which preserve a connection.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 4 , December 1986, pp. 639 - 644
Copyright
Copyright © Cambridge University Press 1986

References

REFERENCES

[1]Feldman, J. & Moore, C. C.. Ergodic equivalence relations, cohomology, and von Neumann algebras, I. Trans. Amer. Math. Soc. 234 (1977), 289–324.CrossRefGoogle Scholar
[2]Heigason, S.. Differential geometry and symmetric spaces. Academic Press, New York, 1962.Google Scholar
[3]Margulis, G. A.. Discrete groups of motions of manifolds of non-positive curvature. Amer. Math. Sot. Translations 109 (1977), 33–45.CrossRefGoogle Scholar
[4]Margulis, G. A.. Quotient groups of discrete groups and measure theory. Fund. Anal. Appl. 12 (1978), 295–305.CrossRefGoogle Scholar
[5]Zimmer, R. J.. Induced and amenable actions of Lie groups. Ann. Sci. Ec. Norm. Sup. 11 (1978), 407–428.CrossRefGoogle Scholar
[6]Zimmer, R. J.. Amenable pairs of groups and ergodic actions and the associated von Neumann algebras. Trans. Amer. Math. Soc. 243 (1978), 271–286.Google Scholar
[7]Zimmer, R. J.. Strong rigidity for ergodic actions of semisimple Lie groups. Annals of Math. 112 (1980), 511–529.CrossRefGoogle Scholar
[8]Zimmer, R. J.. Orbit equivalence and rigidity of ergodic actions of Lie groups. Ergod. Th. & Dynam. Sys. 1 (1981), 237–253.CrossRefGoogle Scholar
[9]Zimmer, R. J.. Actions of lattices in semisimple groups preserving a G-structure of finite type. Ergod. Th. & Dynam. Sys. 5 (1985), 301–306CrossRefGoogle Scholar
[10]Zimmer, R. J.. Ergodic theory and the automorphism group of a G-structure. Proceedings of a conference in honor of G. W. Mackey,Berkeley,1984.M.S.R.I. Publications, Springer-Verlag, to appear.Google Scholar
[11]Zimmer, R. J.. Lattices in semisimple groups and invariant geometric structures on compact manifolds. In Discrete Groups in Geometry and Analysis. Proceedings of a conference in honor of G. D. Mostow,New Haven,1984.Birkhauser-Boston, to appear.Google Scholar
[12]Zimmer, R. J.. Ergodic Theory and Semisimple Groups. Birkhauser-Boston, 1984.CrossRefGoogle Scholar
[13]Zimmer, R. J.. Amenable actions and dense subgroups of Lie groups. J. Funct. Anal. To appear.Google Scholar