Abstract:
Stable ergodicity is dense among compact Lie group extensions
of Anosov diffeomorphisms of compact manifolds. Under the additional assumption that the base map acts on an infranilmanifold, an extension that is not
stably ergodic must have a factor that has one of three special forms.
A consequence is that stable ergodicity and stable ergodicity
within skew products are equivalent in this case.
This article has appeared in the Annales Scientifiques de l'Ecole Normale Supérieure 32(1999), 859--889. It is available in the following formats:
The .tex file is written latex. Recreating the paper from the .tex requires the picture file ergslice.eps.
For some corrections and clarifications to the paper, please read our erratum, which is available as a tex, dvi, postscript, or pdf file.
Authors' addresses:
Keith Burns
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730
Amie Wilkinson
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730