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Cerveau, Dominique

Distributions involutives singulieres. (French) Zbl 0419.58002

Ann. Inst. Fourier 29, No. 3, 261-294 (1979).
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scan of Zbl 0419.58002

Cited in 12 Documents

MSC:

58A30 Vector distributions (subbundles of the tangent bundles)

Keywords:

involutive plane fields with singularities; linearization
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\textit{D. Cerveau}, Ann. Inst. Fourier 29, No. 3, 261--294 (1979; Zbl 0419.58002)
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References:

[1] [1] et , Linéarisation différentiable de germes d’actions de R2 et de champs holomorphes, C.R. Acad. Sc., Paris, t. 285 (14 Nov. 1977), 841-844. · Zbl 0367.58003
[2] [2] , , , Non linear representations of Lie Groups, Ann. Scient. Ec. Norm. Sup., t. 10 (1977), 405-418. · Zbl 0384.22005
[3] [3] et , Le théorème de Frobenius pour un pli intégrable, C.R. Acad. Sc., Paris, t. 282-9 (1976), 445. · Zbl 0316.58001
[4] [4] et , Remarks on a paper of Hermann, Trans. Amer. Math. Soc., 130 (1968), 110-116. · Zbl 0155.05701
[5] [5] , Formal linearization of a semi-simple Lie algebra of vector fields about a singular point, Trans. Amer. Math. Soc., 130 (1968), 105-109. · Zbl 0155.05604
[6] [6] , Frobenius avec singularité codimension 1, Publ. Math. IHES, 46 (1976), 163-173. · Zbl 0355.32013
[7] [7] , Sur l’existence d’intégrales premières pour un germe de forme de Pfaff, Ann. Inst. Fourier, Grenoble, XXVI fasc. 2 (1976), 171-220. · Zbl 0328.58002
[8] [8] , Local contractions and a theorem of Poincaré, Amer. J. of Math., Vol. 79 (1957), 809-824. · Zbl 0080.29902
[9] [9] , On a generalisation of de Rham lemma, Ann. Inst. Fourier, XXVI fasc. 2 (1976), 165-170. · Zbl 0338.13009
[10] [10] , Singularities of Vector Fields, Publ. Math. I.H.E.S., 43, (1974), 47-100. · Zbl 0279.58009
[11] [11] , Distributions involutives singulières et formes de Pfaff, Thèse de 3ème cycle (1978).
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