The authors classify polar homogeneous foliations on rank one symmetric spaces of noncompact type up to orbit equivalence.
Solonenko: Homogeneous codimension-one foliations on reducible symmetric spaces of noncom- pact type,arXiv:2112.02189 [math.DG]
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Polar homogeneous foliations on symmetric spaces of rank one
The authors classify polar homogeneous foliations on rank one symmetric spaces of noncompact type up to orbit equivalence.