Displaying similar documents to “Unimodular Lie foliations”

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 generalized foliations.

Janusz Grabowski (1993)

Publicacions Matemàtiques

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The main result is a Pursell-Shanks type theorem describing isomorphism of the Lie algebras of vector fields preserving generalized foliations. The result includes as well smooth as real-analytic and holomorphic cases.

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.

Characteristic classes of regular Lie algebroids – a sketch

Kubarski, Jan

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The discourse begins with a definition of a Lie algebroid which is a vector bundle p : A M over a manifold with an R -Lie algebra structure on the smooth section module and a bundle morphism γ : A T M which induces a Lie algebra morphism on the smooth section modules. If γ has constant rank, the Lie algebroid is called regular. (A monograph on the theory of Lie groupoids and Lie algebroids is published by [Lie groupoids and Lie algebroids in differential geometry (1987; Zbl 0683.53029)].) A principal...

On riemannian foliations with minimal leaves

Jesús A. Alvarez Lopez (1990)

Annales de l'institut Fourier

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For a Riemannian foliation, the topology of the corresponding spectral sequence is used to characterize the existence of a bundle-like metric such that the leaves are minimal submanifolds. When the codimension is 2 , a simple characterization of this geometrical property is proved.