The main result is a Pursell-Shanks type theorem describing isomorphism of the Lie algebras of vector fields preserving generalized foliations. The result includes as well smooth as real-analytic and holomorphic cases.
@article{urn:eudml:doc:41534,
title = {Lie algebras of vector fields and generalized foliations.},
journal = {Publicacions Matem\`atiques},
volume = {37},
year = {1993},
pages = {359-367},
mrnumber = {MR1249238},
zbl = {0841.53027},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41534}
}
Grabowski, Janusz. Lie algebras of vector fields and generalized foliations.. Publicacions Matemàtiques, Tome 37 (1993) pp. 359-367. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41534/