Classification of cohomogeneity-one actions on symmetric spaces of noncompact type

TL;DR

This paper completes the classification of isometric cohomogeneity-one actions on all symmetric spaces of noncompact type, providing a comprehensive understanding of their orbit structures.

Contribution

It finalizes the classification of such actions on all symmetric spaces of noncompact type, extending previous partial results.

Findings

Complete classification of cohomogeneity-one actions achieved

Orbit equivalence classes fully characterized

Framework established for future studies

Abstract

We complete the classification of isometric cohomogeneity-one actions on all symmetric spaces of noncompact type up to orbit equivalence.