Isomorphisms of Lie algebras of vector fields

Marc De Wilde; Pierre B. A. Lecomte

Commentationes Mathematicae Universitatis Carolinae (1982)

  • Volume: 023, Issue: 3, page 513-523
  • ISSN: 0010-2628

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De Wilde, Marc, and Lecomte, Pierre B. A.. "Isomorphisms of Lie algebras of vector fields." Commentationes Mathematicae Universitatis Carolinae 023.3 (1982): 513-523. <http://eudml.org/doc/17199>.

@article{DeWilde1982,
author = {De Wilde, Marc, Lecomte, Pierre B. A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {localizable subalgebras; quasi-foliations; Lie algebra of infinitesimal automorphisms of a vector bundle},
language = {eng},
number = {3},
pages = {513-523},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Isomorphisms of Lie algebras of vector fields},
url = {http://eudml.org/doc/17199},
volume = {023},
year = {1982},
}

TY - JOUR
AU - De Wilde, Marc
AU - Lecomte, Pierre B. A.
TI - Isomorphisms of Lie algebras of vector fields
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1982
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 023
IS - 3
SP - 513
EP - 523
LA - eng
KW - localizable subalgebras; quasi-foliations; Lie algebra of infinitesimal automorphisms of a vector bundle
UR - http://eudml.org/doc/17199
ER -

References

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  1. I. AMEMIYA, Lie algebra of vector fields and complex structure, J. Math. Soc. Japan, 27 (1975), 545-549. (1975) Zbl0311.57012MR0400252
  2. A. AVEZ A. LICHNEROWICZ A. DIAZ-MIRANDA, Sur l'algèbre de Lie des automorphismes infinitésimaux d'une variété symplectiques, J. Diff. Geom. 9 (March 1974), 1-40. (1974) MR0356131
  3. J. DIEUDONNE, Elements d'Analyse 3, Cahiers scientifiques XXXIII Gauthier Villars, 1970. (1970) 
  4. A. KORIYAMA, Lie algebra of vector fields with invariant submanifolds, Nagoya Math. J. 55 (1974), 91-110. (1974) MR0370648
  5. A. KORIYAMA, On Lie algebras of vector fields, Trans. Amer. Math. Soc. 226 (1977), 89-117. (1977) Zbl0392.57006MR0431196
  6. P. B. A. LECOMTE, On the infinitesimal automorphisms of a vector bundle, J. Math, pures et appl. Go (1981), 229-239. (1981) Zbl0484.57011MR0633003
  7. A. LICHNEROWICZ, Algèbre de Lie des automorphismes infinitésimaux d'une structure de contact, J. Math, pures et appl. 52 (1973), 473-508. (1973) MR0356132
  8. H. OMORI, Infinite dimensional Lie transformations groups, Lecture Notes in Math., vol. 427, Springer Verlag, Berlin and New York, 1974. (1974) MR0431262
  9. L. E. PURSELL M. E. SHANKS, The Lie algebra of a smooth manifold, Proc. Amer. Math. Soc. 5 (1954), 468-472. (1954) MR0064764

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