Ergodic components of an extension by a nilmanifold
A. Leibman
Source: Illinois J. Math. Volume 52, Number 3 (2008), 957-965.
Abstract
We prove that all ergodic components of an extension of an ergodic system by translations on a nilmanifold X are isomorphic to extensions of this system by translations on subnilmanifolds of X.
Full-text: Open access
Permanent link to this document: http://projecteuclid.org/euclid.ijm/1254403724
Zentralblatt MATH identifier:
05615678
2009 © University of Illinois at Urbana-Champaign, Department of Mathematics
Illinois Journal of Mathematics