abstract: An important result for regular foliations is their formal semi-local triviality near simply connected leaves. We extend this result to singular foliations for all 2-connected leaves and a wide class of 1- connected leaves by proving a semi-local Levi-Malcev theorem for the semi-simple part of their holonomy Lie algebroid.

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@article{Laurent-Gengoux-The-neighborhood-of-2021,
 abstract = {An important result for regular foliations is their formal semi-local
triviality near simply connected leaves. We extend this result to singular
foliations for all 2-connected leaves and a wide class of 1- connected leaves
by proving a semi-local Levi-Malcev theorem for the semi-simple part of their
holonomy Lie algebroid.},
 author = {Laurent-Gengoux, Camille and Ryvkin, Leonid},
 doi = {10.5802/jep.165},
 eprint = {2004.07019},
 fjournal = {Journal de l'{\'E}cole Polytechnique -- Math{\'e}matiques},
 issn = {2429-7100},
 journal = {J. {\'E}c. Polytech., Math.},
 keywords = {53C12,57R30,93B18},
 language = {English},
 pages = {1037--1064},
 title = {The neighborhood of a singular leaf},
 volume = {8},
 year = {2021},
 zbl = {1470.53027},
 zbmath = {7362120}
}