Title: Singular Riemannian flows and characteristic numbers,
Abstract: Let $M$ be an even-dimensional, oriented closed manifold. We show that the
restriction of a singular Riemannian flow on $M$ to a small tubular
neighborhood of each connected component of its singular stratum is
foliated-diffeomorphic to an isometric flow on the same neighborhood. We then
prove a formula that computes characteristic numbers of $M$ as the sum of
residues associated to the infinitesimal foliation at the components of the
singular stratum of the flow.