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Journal of Lie Theory 18 (2008), No. 4, 817--837
Copyright Heldermann Verlag 2008

Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces

Lucio Bedulli
Dip. di Matematica, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy

Anna Gori
Dip. di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy

We classify isometric actions of compact Lie groups on quaternionic-Kähler projective spaces with vanishing homogeneity rank. We also show that in general they are not quaternion-coisotropic.

Keywords: Quaternionic-Kaehler manifolds, homogeneity rank, polar actions.

MSC: 53C26, 57S15

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