Isometries between leaf spaces

Marcos M. Alexandrino; Marco Radeschi

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arXiv · 1111.6178

Isometries between leaf spaces

Marcos M. Alexandrino·Marco Radeschi

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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.

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Marcos M. Alexandrino, Marco Radeschi. 2011-11-26. Isometries between leaf spaces. https://arxiv.org/abs/1111.6178

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