Feuilletage canonique sur le fibré de Weil
Tom 121 / 2010
Colloquium Mathematicum 121 (2010), 17-23
MSC: 58A32, 58A20, 57R30, 13N15.
DOI: 10.4064/cm121-1-2
Streszczenie
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.