Transverse Hausdorff dimension of codim-1 C$^2$-foliations
Fundamenta Mathematicae, Tome 149 (1996) no. 3, pp. 239-244.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-149-3-239-244

Takashi Inaba 1 ; Paweł Walczak 1

1
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Takashi Inaba; Paweł Walczak. Transverse Hausdorff dimension of codim-1 C$^2$-foliations. Fundamenta Mathematicae, Tome 149 (1996) no. 3, pp. 239-244. doi : 10.4064/fm-149-3-239-244. http://geodesic.mathdoc.fr/articles/10.4064/fm-149-3-239-244/

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