Tautly foliated 3-manifolds with no R-covered foliations
Abstract
Description
A foliation of a manifold M is called R-covered if its lift to the universal cover of M has space of leaves R. We show that there are many graph manifolds which admit taut foliations, but which do not admit any R-covered foliations. On the other hand, we show that these manifolds all have finite covers admitting R-covered foliations.
10 pages, 3 eps figures
10 pages, 3 eps figures