Journal of Lie Theory

no. 4
Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces
Journal of Lie Theory, Volume 18 (2008) no. 4, pp. 817-837
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.
DOI: 10.5802/jolt.527
Classification: 53C26, 57S15
Keywords: Quaternionic-Kaehler manifolds, homogeneity rank, polar actions 
@article{JOLT_2008_18_4_a4,
     author = {L. Bedulli and A. Gori},
     title = {Actions of {Vanishing} {Homogeneity} {Rank} on {Quaternionic-K\"ahler} {Projective} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {817--837},
     year = {2008},
     volume = {18},
     number = {4},
     doi = {10.5802/jolt.527},
     zbl = {1170.53027},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.527/}
}
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L. Bedulli; A. Gori. Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces. Journal of Lie Theory, Volume 18 (2008) no. 4, pp. 817-837. doi: 10.5802/jolt.527

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