Green's theorem on a foliated Riemannian manifold and its applications
The authors prove a q-codimensional analogue of the classical Green's theorem. For minimal foliations this implies that - with respect to the transverse Riemannian connection - those parallel normal vectorfields which are divergence-free and for which the Laplacian equals the Ricci operator must be transverse Killing.
scientific article; zbMATH DE number 4214862