Hyperpolar homogeneous foliations on symmetric spaces of noncompact type

Abstract

A foliation on a Riemannian manifold is hyperpolar if it admits a flat section, that is, a connected closed flat submanifold that intersects each leaf of the foliation orthogonally. In this article we classify the hyperpolar homogeneous foliations on every Riemannian symmetric space of noncompact type.

38 pages, some minor problems in Section 6 have been corrected

References in corpus (3)

• Proper isometric actions
• Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds
• Examples of a complex hyperpolar actions without singular orbit

Cited by in corpus (3)

• Duality of symmetric spaces and polar actions
• Polar actions with a fixed point
• Hyperpolar homogeneous foliations on symmetric spaces of noncompact type - an overview