Une caractérisation du fibré transverse.

Tong Van Duc

Collectanea Mathematica (1990)

  • Volume: 41, Issue: 1, page 35-44
  • ISSN: 0010-0757

Abstract

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We prove that the Lie algebra of infinitesimal automorphisms of the transverse structure on the total space of the transverse bundle of a foliation is isomorphic to the semi-direct product of the Lie algebra of the infinitesimal automorphism of the foliation by the vector space of the transverse vector fields. The derivations of this algebra are entirely determined and we prove that this Lie algebra characterises the foliated structure of a compact Hausdorff foliation.

How to cite

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Van Duc, Tong. "Une caractérisation du fibré transverse.." Collectanea Mathematica 41.1 (1990): 35-44. <http://eudml.org/doc/42245>.

@article{VanDuc1990,
author = {Van Duc, Tong},
journal = {Collectanea Mathematica},
keywords = {Fibrados; Foliaciones; Algebra de Lie; transverse bundle of a foliation; transverse vector fields; compact Hausdorff foliation; Lie algebra of an infinitesimal automorphism of a foliation},
language = {fre},
number = {1},
pages = {35-44},
title = {Une caractérisation du fibré transverse.},
url = {http://eudml.org/doc/42245},
volume = {41},
year = {1990},
}

TY - JOUR
AU - Van Duc, Tong
TI - Une caractérisation du fibré transverse.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 1
SP - 35
EP - 44
LA - fre
KW - Fibrados; Foliaciones; Algebra de Lie; transverse bundle of a foliation; transverse vector fields; compact Hausdorff foliation; Lie algebra of an infinitesimal automorphism of a foliation
UR - http://eudml.org/doc/42245
ER -

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