Isometries between leaf spaces
Differential Geometry
2013-10-01 v4
Abstract
In this paper we prove that an isometry between orbit spaces of two proper isometric actions is smooth if it preserves the codimension of the orbits or if the orbit spaces have no boundary. In other words, we generalize Myers-Steenrod's theorem for orbit spaces. These results are proved in the more general context of singular Riemannian foliations.
Cite
@article{arxiv.1111.6178,
title = {Isometries between leaf spaces},
author = {Marcos M. Alexandrino and Marco Radeschi},
journal= {arXiv preprint arXiv:1111.6178},
year = {2013}
}
Comments
Several typos were corrected. Coordinate-free proofs of the main propositions were added