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.
Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces / L. Beduli, A. Gori. - In: JOURNAL OF LIE THEORY. - ISSN 0949-5932. - 18:4(2008), pp. 817-837.
Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
A. GoriUltimo
2008
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.
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