Smoothness of isometric flows on orbit spaces and applications to the theory of foliations

MM Alexandrino, M Radeschi - arXiv preprint arXiv:1301.2735, 2013 - arxiv.org
We prove here that given a proper isometric action $K\times M\to M$ on a complete Riemannian
manifold $M$ then every continuous isometric flow on the orbit space $M/K$ is smooth, …