Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces
Journal of Lie theory, Tome 18 (2008) no. 4, pp. 817-837
Cet article a éte moissonné depuis 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
Mots-clés : Quaternionic-Kaehler manifolds, homogeneity rank, polar actions
@article{JLT_2008_18_4_JLT_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},
url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_4_JLT_2008_18_4_a4/}
}
TY - JOUR AU - L. Bedulli AU - A. Gori TI - Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces JO - Journal of Lie theory PY - 2008 SP - 817 EP - 837 VL - 18 IS - 4 UR - http://geodesic.mathdoc.fr/item/JLT_2008_18_4_JLT_2008_18_4_a4/ ID - JLT_2008_18_4_JLT_2008_18_4_a4 ER -
L. Bedulli; A. 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/JLT_2008_18_4_JLT_2008_18_4_a4/