English

On Completely Solvable Lie Foliation

Differential Geometry 2018-02-23 v1

Abstract

In this paper we try to generalize the Haefliger theorem on completly solvable Lie foliations. We prove that: every completely solvable Lie foliation on a compact manifold is the inverse image of a homogenus foliation. Every manifold in this paper is compact and our Lie group G is connexe and simply connexe.

Keywords

Cite

@article{arxiv.1802.08173,
  title  = {On Completely Solvable Lie Foliation},
  author = {Ameth Ndiaye},
  journal= {arXiv preprint arXiv:1802.08173},
  year   = {2018}
}
R2 v1 2026-06-23T00:30:26.361Z