Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
We classify isometric actions of compact Lie groups on quaternionic-K��hler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.
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
- University of Milan Italy
- University of L'Aquila Italy
Compact Lie groups of differentiable transformations, Mathematics - Differential Geometry, quaternionic representation, quaternionic-Kähler manifolds, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, 53C26, Differential Geometry (math.DG), polar actions, FOS: Mathematics, homogeneity rank, 53C26; 57S15, 57S15
Compact Lie groups of differentiable transformations, Mathematics - Differential Geometry, quaternionic representation, quaternionic-Kähler manifolds, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry, 53C26, Differential Geometry (math.DG), polar actions, FOS: Mathematics, homogeneity rank, 53C26; 57S15, 57S15
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