Some remarks on Lie flows.

Miquel Llabrés; Agustí Reventós

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 3, page 517-531
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Llabrés, Miquel, and Reventós, Agustí. "Some remarks on Lie flows.." Publicacions Matemàtiques 33.3 (1989): 517-531. <http://eudml.org/doc/41088>.

@article{Llabrés1989,
abstract = {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.},
author = {Llabrés, Miquel, Reventós, Agustí},
journal = {Publicacions Matemàtiques},
keywords = {Foliaciones; Algebra de Lie; Cohomología; Variedades compactas; foliation; Riemannian flows; Lie algebra; Lie flows; Euler class},
language = {eng},
number = {3},
pages = {517-531},
title = {Some remarks on Lie flows.},
url = {http://eudml.org/doc/41088},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Llabrés, Miquel
AU - Reventós, Agustí
TI - Some remarks on Lie flows.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 3
SP - 517
EP - 531
AB - 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.
LA - eng
KW - Foliaciones; Algebra de Lie; Cohomología; Variedades compactas; foliation; Riemannian flows; Lie algebra; Lie flows; Euler class
UR - http://eudml.org/doc/41088
ER -

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