Lie algebras of vector fields and codimension one foliations.

Tomasz Rybicki

Publicacions Matemàtiques (1990)

  • Volume: 34, Issue: 2, page 311-321
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Rybicki, Tomasz. "Lie algebras of vector fields and codimension one foliations.." Publicacions Matemàtiques 34.2 (1990): 311-321. <http://eudml.org/doc/41138>.

@article{Rybicki1990,
abstract = {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.},
author = {Rybicki, Tomasz},
journal = {Publicacions Matemàtiques},
keywords = {Algebra de Lie; Campos vectoriales; Foliaciones; foliated manifold; Lie algebra; foliated vector fields; Lie algebra isomorphism; foliation preserving diffeomorphism},
language = {eng},
number = {2},
pages = {311-321},
title = {Lie algebras of vector fields and codimension one foliations.},
url = {http://eudml.org/doc/41138},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Rybicki, Tomasz
TI - Lie algebras of vector fields and codimension one foliations.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 2
SP - 311
EP - 321
AB - 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.
LA - eng
KW - Algebra de Lie; Campos vectoriales; Foliaciones; foliated manifold; Lie algebra; foliated vector fields; Lie algebra isomorphism; foliation preserving diffeomorphism
UR - http://eudml.org/doc/41138
ER -

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