Codimension one minimal foliations and the higher homotopy groups of leaves

Abstract: Let be a codimension one foliation of an aspherical manifold M. Assume that has no vanishing cycles. If there is an aspherical dense leaf of , then each leaf of is aspherical. If is minimal and the universal covering of a leaf of is not k-connected, then the universal coverings of no leaves are k-connected. To cite this article: T. Yokoyama, C. R. Acad. Sci. Paris, Ser. I 347 (2009). [Copyright &y& Elsevier]