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Some remarks on Lie flows. (English) Zbl 0765.57021

The first part of this paper is concerned with geometrical and cohomological properties of Lie flows on compact manifolds. Relations between these properties and the Euler class of the flow are given. The second part deals with 3-codimensional Lie flows. Using the classification of 3-dimensional Lie algebras the authors give cohomological obstructions for a compact manifold admitting a Lie flow transversally modeled on a given Lie algebra.

MSC:

57R30 Foliations in differential topology; geometric theory
37C10 Dynamics induced by flows and semiflows
53C12 Foliations (differential geometric aspects)
58A12 de Rham theory in global analysis
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