Natural liftings of foliations to the tangent bundle
A classification of natural liftings of foliations to the tangent bundle is given.
Natural transformations of foliations into foliations on the cotangent bundle
Nontaut foliations and isoperimetric constants
We study nontaut codimension one foliations on closed Riemannian manifolds. We find an estimate of some constant derived from the mean curvature function of the leaves of a foliation by some isoperimetric constant of the manifold. Moreover, for foliated 2-tori and the 3-dimensional unit sphere, we find the infimum of the former constants for all nontaut codimension one foliations.