Polar actions on homogeneous 3-spaces
Differential Geometry
2026-02-25 v1
Abstract
We classify polar isometric actions on simply connected 3-dimensional Riemannian homogeneous spaces, up to orbit equivalence. In particular, we classify extrinsically homogeneous surfaces in such spaces and study the geometry of the orbit foliations of the corresponding cohomogeneity one actions.
Cite
@article{arxiv.2505.05898,
title = {Polar actions on homogeneous 3-spaces},
author = {Miguel Dominguez-Vazquez and Tarcios A. Ferreira and Tomas Otero},
journal= {arXiv preprint arXiv:2505.05898},
year = {2026}
}