Homogeneous codimension-one foliations on reducible symmetric spaces of noncompact type

TL;DR

This paper completes the classification of homogeneous codimension-one foliations on all noncompact symmetric spaces by extending previous results from irreducible to reducible cases.

Contribution

It generalizes the classification of such foliations to reducible symmetric spaces, filling a gap in the existing literature.

Findings

Classification extended to reducible symmetric spaces

Complete understanding of homogeneous codimension-one foliations on all noncompact symmetric spaces

Unified framework for irreducible and reducible cases

Abstract

We extend the classification of homogeneous codimension-one foliations on irreducible Riemannian symmetric spaces of noncompact type obtained by Berndt and Tamaru to the reducible case, thus completing it for all noncompact symmetric spaces.