a1 Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
a2 Department of Mathematics, University of Michigan, Ann Arbor, MI 48103, USA
We investigate invariant ergodic measures for certain partially hyperbolic and Anosov actions ofk, k and We show that they are either Haar measures or that every element of the action has zero metric entropy.
(Received June 25 1992)
(Revised February 15 1995)
† Partially supported by NSF grant DMS 9017995.
‡ Partially supported by the NSF, AMS Centennial Fellow.