English

Compact Lie algebras, transversely Lie foliations and fibrations

Geometric Topology 2010-07-16 v2

Abstract

We study Lie foliations on compact manifolds, in case the Lie group is compact. Our main results improve Tischler classical result on the existence of fibration and, as an application, we study the case the manifold has an amenable fundamental group.

Keywords

Cite

@article{arxiv.0910.1033,
  title  = {Compact Lie algebras, transversely Lie foliations and fibrations},
  author = {Marcelo Tavares},
  journal= {arXiv preprint arXiv:0910.1033},
  year   = {2010}
}

Comments

18 pages