On the stability of leaves of Riemannian foliations
The author proves that for a leaf in a transversally complete Riemannian foliation the conditions of being: 1) stable, 2) proper, and 3) closed are equivalent to each other; the whole manifold is a V-fibration over a Sasakian manifold if there is a proper leaf with finite holonomy. If there is an unproper leaf, then the union of all such leaves is a complement of a closed submanifold of codimension at least 2.
scientific article; zbMATH DE number 4075976
scientific article