Geodesic
Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces
Lucio Bedulli1 ; Anna Gori2
1Dip. di Matematica, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy
2Dip. di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 817-837

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 53C26, 57S15
Mots-clés : Quaternionic-Kaehler manifolds, homogeneity rank, polar actions

Lucio Bedulli  1   ; Anna Gori  2

1 Dip. di Matematica, Università di Firenze, Viale Morgagni 67/A, 50134 Firenze, Italy
2 Dip. di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy 
Lucio Bedulli; Anna Gori. Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 817-837. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a4/
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     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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a4/}
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