Polar foliations on symmetric spaces

Abstract

We prove that a polar foliation of codimension at least three in an irreducible compact symmetric space is hyperpolar, unless the symmetric space has rank one. For reducible symmetric spaces of compact type, we derive decomposition results for polar foliations.

Minor stylistic modifications

References in corpus (2)

• Tits Geometry and Positive Curvature
• Homogeneous compact geometries

Cited by in corpus (5)

• Tits Geometry and Positive Curvature
• Clifford algebras and new singular Riemannian foliations in spheres
• Homogeneous compact geometries
• Polar manifolds and actions
• The dual foliation of some singular Riemannian foliations