Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on and
Measure preserving pseudo-groups and a theorem of Sacksteder
This note is based on a theorem of Sacksteder which generalizes a classical result of Denjoy. Using this theorem and results on the existence of invariant measures, new results are obtained concerning minimal sets for groups of diffeomorphisms of the circle and for foliations of codimension one.