Transverse Hausdorff dimension of codim-1 C~2-foliations

摘要

The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation J7 is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when T is non-minimal, and to be equal to zero when SF is minimal with non-trivial leaf holonomy.