Lie group structures on groups of diffeomorphisms and applications to CR manifolds

M. Salah Baouendi[1]; Linda Preiss Rothschild; Jörg Winkelmann; Dimitri Zaitsev

  • [1] University of California, Department of Mathematics, 0112, San Diego, La Jolla, CA 92093-0112 (USA), Université Henri Poincaré Nancy 1, Institut Élie Cartan, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex (France), Trinity College, School of Mathematics, Dublin 2 (Irland)

Annales de l’institut Fourier (2004)

  • Volume: 54, Issue: 5, page 1279-1303
  • ISSN: 0373-0956

Abstract

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We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.

How to cite

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Baouendi, M. Salah, et al. "Lie group structures on groups of diffeomorphisms and applications to CR manifolds." Annales de l’institut Fourier 54.5 (2004): 1279-1303. <http://eudml.org/doc/116143>.

@article{Baouendi2004,
abstract = {We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.},
affiliation = {University of California, Department of Mathematics, 0112, San Diego, La Jolla, CA 92093-0112 (USA), Université Henri Poincaré Nancy 1, Institut Élie Cartan, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex (France), Trinity College, School of Mathematics, Dublin 2 (Irland)},
author = {Baouendi, M. Salah, Preiss Rothschild, Linda, Winkelmann, Jörg, Zaitsev, Dimitri},
journal = {Annales de l’institut Fourier},
keywords = {lie group; CR manifold; CR automorphism; jet parametrization; complete system; Lie group; CR manifolds},
language = {eng},
number = {5},
pages = {1279-1303},
publisher = {Association des Annales de l'Institut Fourier},
title = {Lie group structures on groups of diffeomorphisms and applications to CR manifolds},
url = {http://eudml.org/doc/116143},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Baouendi, M. Salah
AU - Preiss Rothschild, Linda
AU - Winkelmann, Jörg
AU - Zaitsev, Dimitri
TI - Lie group structures on groups of diffeomorphisms and applications to CR manifolds
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 5
SP - 1279
EP - 1303
AB - We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
LA - eng
KW - lie group; CR manifold; CR automorphism; jet parametrization; complete system; Lie group; CR manifolds
UR - http://eudml.org/doc/116143
ER -

References

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