Advanced Search

Let $ℱ$ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold $M$. We show that if the fundamental group of each leaf of $ℱ$ is isomorphic to $Z$, then $ℱ$ is without holonomy. We also show that if ${\pi }_2\left(M\right)\cong 0$ and the fundamental group of each leaf of $ℱ$ is isomorphic to $Z^k$ ($k\in Z_{\ge 0}$), then $ℱ$ is without holonomy.