Feuilletage canonique sur le fibré de Weil

Volume 121 / 2010

Basile Guy Richard Bossoto Colloquium Mathematicum 121 (2010), 17-23 MSC: 58A32, 58A20, 57R30, 13N15. DOI: 10.4064/cm121-1-2

Abstract

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.

Authors

  • Basile Guy Richard BossotoDépartement de Mathématiques
    Faculté des Sciences
    Université Marien Ngouabi
    BP. 69, Brazzaville, Congo
    e-mail

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