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On the Mostow rigidity theorem and measurable foliations by hyperbolic space

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Abstract

An ergodic-theoretic version of Mostow’s rigidity theorem for hyperbolic space forms is obtained treating foliations of a measure space by leaves that carry the structure of a hyperbolic space.

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    Robert J. Zimmer

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  1. Robert J. Zimmer
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Additional information

Research partially supported by NSF Grant NSF MCS-7905036, The Sloan Foundation, and the National Academy of Sciences, USA.

Sloan Foundation Fellow.

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Zimmer, R.J. On the Mostow rigidity theorem and measurable foliations by hyperbolic space. Israel J. Math. 43, 281–290 (1982). https://doi.org/10.1007/BF02761234

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  • DOI: https://doi.org/10.1007/BF02761234

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