QUALITATIVE THEORY AND EXPANSION GROWTH OF TRANSVERSELY PIECEWISE-SMOOTH FOLIATED S-1-BUNDLES

We study a qualitative theory of compact, transversely piecewise-smoot h foliated S-1-bundles. We show that it has the same qualitative prope rties as that of smooth codimension-one foliations on a compact manifo ld. By the obtained qualitative properties, we can deduce that the exp ansion growth of this foliation is classified and that the entropy of this foliation is positive if and only if there exists a resilient lea f.