Feuilletage canonique sur le fibré de Weil

Basile Guy Richard Bossoto¹

¹ Département de Mathématiques Faculté des Sciences Université Marien Ngouabi BP. 69, Brazzaville, Congo

Colloquium Mathematicum, Tome 121 (2010) no. 1, pp. 17-23

Résumé

Let be $M$ a smooth manifold, $A$ a local algebra and $M^{A}$ a manifold of infinitely near points on $M$ of kind $A$. We build the canonical foliation on $M^{A}$ and we show that the canonical foliation on the tangent bundle $TM $ is the foliation defined by its canonical field.

Détail

DOI : 10.4064/cm121-1-2

Mots-clés : smooth manifold local algebra manifold infinitely near points kind build canonical foliation canonical foliation tangent bundle foliation defined its canonical field