Conformal foliations

Cédric Tarquini[1]

  • [1] U.M.P.A., École Normale Supérieure de Lyon, allée d'Italie, 69364 Lyon cedex 07 (France)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 2, page 453-480
  • ISSN: 0373-0956

Abstract

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In this article we prove that every conformal foliation, transversely analytic, of codimension at most three on a compact connected manifold is either transversely Möbius or Riemannian. This theorem can be seen as a generalisation of the Ferrand-Obata theorem transversely to a foliation.

How to cite

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Tarquini, Cédric. "Feuilletages conformes." Annales de l’institut Fourier 54.2 (2004): 453-480. <http://eudml.org/doc/116118>.

@article{Tarquini2004,
abstract = {Dans cet article nous montrons que tout feuilletage conforme, transversalement analytique, de codimension supérieure ou égale à trois sur une variété compacte connexe est transversalement Möbius ou riemannien. Ce théorème peut être vu comme une généralisation, transversalement à un feuilletage, du théorème Ferrand-Obata.},
affiliation = {U.M.P.A., École Normale Supérieure de Lyon, allée d'Italie, 69364 Lyon cedex 07 (France)},
author = {Tarquini, Cédric},
journal = {Annales de l’institut Fourier},
keywords = {foliations; pseudogroups; conformal differential geometry},
language = {fre},
number = {2},
pages = {453-480},
publisher = {Association des Annales de l'Institut Fourier},
title = {Feuilletages conformes},
url = {http://eudml.org/doc/116118},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Tarquini, Cédric
TI - Feuilletages conformes
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 2
SP - 453
EP - 480
AB - Dans cet article nous montrons que tout feuilletage conforme, transversalement analytique, de codimension supérieure ou égale à trois sur une variété compacte connexe est transversalement Möbius ou riemannien. Ce théorème peut être vu comme une généralisation, transversalement à un feuilletage, du théorème Ferrand-Obata.
LA - fre
KW - foliations; pseudogroups; conformal differential geometry
UR - http://eudml.org/doc/116118
ER -

References

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