Homogeneous polar foliations of complex hyperbolic spaces

Abstract

We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliations.

minor corrections, one reference added

References in corpus (2)

• Duality of symmetric spaces and polar actions
• Cohomogeneity one actions on symmetric spaces of noncompact type

Cited by in corpus (1)

• Polar actions on the complex hyperbolic plane