Transverse Hausdorff dimension of codim-1 C$^2$-foliations
Volume 149 / 1996
Fundamenta Mathematicae 149 (1996), 239-244
DOI: 10.4064/fm-149-3-239-244
Abstract
The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.
