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.
@article{bwmeta1.element.bwnjournal-article-fmv149i3p239bwm,
author = {Takashi Inaba and Pawe\l\ Walczak},
title = {Transverse Hausdorff dimension of codim-1 C2-foliations},
journal = {Fundamenta Mathematicae},
volume = {149},
year = {1996},
pages = {239-244},
zbl = {0860.57021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv149i3p239bwm}
}
Inaba, Takashi; Walczak, Paweł. Transverse Hausdorff dimension of codim-1 C2-foliations. Fundamenta Mathematicae, Tome 149 (1996) pp. 239-244. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv149i3p239bwm/
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