English

Feuilletage canonique sur le fibr\'e de Weil

Differential Geometry 2010-10-19 v1

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} et we show that the canonical foliation on the tangent bundle TM is the foliation defined by his canonical field.

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Cite

@article{arxiv.1010.3506,
  title  = {Feuilletage canonique sur le fibr\'e de Weil},
  author = {Basile Guy Richard Bossoto},
  journal= {arXiv preprint arXiv:1010.3506},
  year   = {2010}
}

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9 pages