Integrable Riemannian submersion with singularities
It is proven that regular level sets of an analytic transnormal map on a real analytic complete Riemannian manifold are equifocal submanifolds and leaves of a singular Riemannian foliation with sections. Equifocal submanifolds are generalizations of isoparametric submanifolds and isoparametric hypersurfaces.
scientific article; zbMATH DE number 2145815