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De Wilde, Marc ; Lecomte, Pierre B. A.
Isomorphisms of Lie algebras of vector fields. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 3, pp. 513-523
MSC: 17B65, 57R25, 58A05, 58H05 | MR 677859 | Zbl 0516.58052
References:
[1] I. AMEMIYA : Lie algebra of vector fields and complex structure. J. Math. Soc. Japan, 27 (1975), 545-549. MR 0400252 | Zbl 0311.57012
[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. MR 0356131
[3] J. DIEUDONNE: Elements d'Analyse 3. Cahiers scientifiques XXXIII Gauthier Villars, 1970.
[4] A. KORIYAMA : Lie algebra of vector fields with invariant submanifolds. Nagoya Math. J. 55 (1974), 91-110. MR 0370648
[5] A. KORIYAMA : On Lie algebras of vector fields. Trans. Amer. Math. Soc. 226 (1977), 89-117. MR 0431196 | Zbl 0392.57006
[6] P. B. A. LECOMTE : On the infinitesimal automorphisms of a vector bundle. J. Math, pures et appl. Go (1981), 229-239. MR 0633003 | Zbl 0484.57011
[7] A. LICHNEROWICZ : Algèbre de Lie des automorphismes infinitésimaux d'une structure de contact. J. Math, pures et appl. 52 (1973), 473-508. MR 0356132
[8] H. OMORI : Infinite dimensional Lie transformations groups. Lecture Notes in Math., vol. 427, Springer Verlag, Berlin and New York, 1974. MR 0431262
[9] L. E. PURSELL M. E. SHANKS : The Lie algebra of a smooth manifold. Proc. Amer. Math. Soc. 5 (1954), 468-472. MR 0064764
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