0802.0972Feb 7, 200818 pages. The present version corrects and improves the previous version of the paper entitled "3-coisotropic actions on positive quaternionic-Kaehler manifolds". A key example has been added
Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
Lucio Bedulli, Anna Gori
Abstract
We classify isometric actions of compact Lie groups on quaternionic-Kähler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.