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.
Affiliations des auteurs :
Takashi Inaba 1 ; Paweł Walczak 1
@article{10_4064_fm_149_3_239_244,
author = {Takashi Inaba and Pawe{\l} Walczak},
title = {Transverse {Hausdorff} dimension of codim-1 {C}$^2$-foliations},
journal = {Fundamenta Mathematicae},
pages = {239--244},
publisher = {mathdoc},
volume = {149},
number = {3},
year = {1996},
doi = {10.4064/fm-149-3-239-244},
language = {fr},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-149-3-239-244/}
}
TY - JOUR AU - Takashi Inaba AU - Paweł Walczak TI - Transverse Hausdorff dimension of codim-1 C$^2$-foliations JO - Fundamenta Mathematicae PY - 1996 SP - 239 EP - 244 VL - 149 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-149-3-239-244/ DO - 10.4064/fm-149-3-239-244 LA - fr ID - 10_4064_fm_149_3_239_244 ER -
%0 Journal Article %A Takashi Inaba %A Paweł Walczak %T Transverse Hausdorff dimension of codim-1 C$^2$-foliations %J Fundamenta Mathematicae %D 1996 %P 239-244 %V 149 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/fm-149-3-239-244/ %R 10.4064/fm-149-3-239-244 %G fr %F 10_4064_fm_149_3_239_244
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
Cité par Sources :