Compact Lie algebras, transversely Lie foliations and fibrations

Mathematics – Geometric Topology

Scientific paper

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18 pages

Scientific paper

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.

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