Resilient leaves in transversely affine foliations
\textit{P. Furness} and \textit{E. Fedida} [Glasg. Math. J. 17, 106-111 (1976; Zbl 0329.57004), Theorem 3] incorrectly asserted that a transversely affine foliation of codimension one cannot have exceptional leaves. In this paper a counterexample to their assertion is given on a closed 3- manifold. (It seems that a similar example was already known to \textit{G. Hector} (unpublished).) It is also shown that a transversely affine foliation of codimension one has locally dense resilient leaves if and only if its global holonomy group is non-abelian. This result contains Theorem 1 of \textit{P. Furness} and \textit{E. Fedida} [C. R. Acad. Sci. Paris, Ser. A 282, 825-827 (1976; Zbl 0321.57017)] as a special case.
transversely affine foliation of codimension one
scientific article; zbMATH DE number 4104003