Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
Differential Geometry
2008-05-22 v3
Abstract
We classify isometric actions of compact Lie groups on quaternionic-K\"ahler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.
Keywords
Cite
@article{arxiv.0802.0972,
title = {Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces},
author = {Lucio Bedulli and Anna Gori},
journal= {arXiv preprint arXiv:0802.0972},
year = {2008}
}
Comments
18 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