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/