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/