Displaying similar documents to “Lie algebras of vector fields and generalized foliations.”

Unimodular Lie foliations

M. Llabrés, A. Reventós (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Some remarks on Lie flows.

Miquel Llabrés, Agustí Reventós (1989)

Publicacions Matemàtiques

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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 we give cohomological obstructions for a compact manifold admits a Lie flow transversely modeled on a given Lie algebra.

Lie algebras of vector fields and codimension one foliations.

Tomasz Rybicki (1990)

Publicacions Matemàtiques

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The main result is a Pursell-Shanks type theorem for codimension one foliations. This theorem can be viewed as a partial solution of a hypothetical general version of the theorem of Pursell-Shanks. Several propositions and lemmas on foliations are contained in the proof.