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Topological rigidity of strong stable foliations for Cartan actions

Published online by Cambridge University Press:  19 September 2008

Steven Hurder
Steven Hurder
Affiliation:
Department of Mathematics (mc/249), University of Illinois at Chicago, 851 S. Morgan St, Chicago, IL 60607 - 7045, USA
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Abstract

We show that the strongest stable foliations associated with the generators of a Cartan action on a compact infra-nilmanifold are invaraint under topological conjugacy. This has the corollary that a Cartan action on a compact infra-nilmanifold with constant exponents is smoothly conjugate to an affine action.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 1 , March 1994 , pp. 151 - 167
Copyright
Copyright © Cambridge University Press 1994

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