Tenseness of Riemannian flows
Tenseness of Riemannian flows
We show that any transversally complete Riemannian foliation ℱ of dimension one on any possibly non-compact manifold M is tense; namely, M admits a Riemannian metric such that the mean curvature form of ℱ is basic. This is a partial generalization of a result of DomĂnguez, which says that any …