Let be M a smooth manifold, A a local algebra and a manifold of infinitely near points on M of kind A. We build the canonical foliation on and we show that the canonical foliation on the tangent bundle TM is the foliation defined by its canonical field.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-2, author = {Basile Guy Richard Bossoto}, title = {Feuilletage canonique sur le fibr\'e de Weil}, journal = {Colloquium Mathematicae}, volume = {120}, year = {2010}, pages = {17-23}, zbl = {1221.58005}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-2} }
Basile Guy Richard Bossoto. Feuilletage canonique sur le fibré de Weil. Colloquium Mathematicae, Tome 120 (2010) pp. 17-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-1-2/