Pseudo-Riemannian foliations and their graphs

N. I. Zhukova, A. Yu. Dolgonosova

We prove that a foliation $(M,F)$ of codimension $q$ on a $n$-dimen\-sio\-nal pseudo-Riemannian manifold is pseudo-Riemannian if and only if any geodesic that is orthogonal at one…