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On finite determinacy of formal vector fields. (English) Zbl 0504.58010


MSC:

58C25 Differentiable maps on manifolds
58K99 Theory of singularities and catastrophe theory
58A40 Differential spaces

Citations:

Zbl 0491.58025
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References:

[1] Ichikawa, F.: Finitely determined singularities of formal vector fields. Invent. Math.66, 199-214 (1982) · Zbl 0491.58025 · doi:10.1007/BF01389391
[2] Koriyama, A., Maeda, Y., Omori, H.: On Lie algebras of vector fields on expansive sets. Japan. J. Math.3, 57-80 (1977) · Zbl 0392.57006
[3] Mather, J.: Stability ofC ?-mappings III, Finitely determined map-germs. Publ. Math. I.H.E.S.35 (1968) · Zbl 0159.25001
[4] Nelson, E.: Topics in dynamics I, flows, Math. Note, Princeton: University Press 1969 · Zbl 0197.10702
[5] Omori, H.: Theory of infinite dimensional Lie groups, Kinokuniya, 1978 (In Japanese) · Zbl 0573.58005
[6] Sternberg, S.: Local contractions and a theorem of Poincaré. Amer. J. Math.79 809-824 (1957) · Zbl 0080.29902 · doi:10.2307/2372437
[7] Sternberg, S.: On the structure of local homeomorphisms of Euclideann-space, II. Amer. J. Math.80, 623-632 (1958) · Zbl 0083.31406 · doi:10.2307/2372774
[8] Takens, F.: Singularities of vector fields. Publ. Math. I.H.E.S.43 (1973) · Zbl 0279.58009
[9] Takens, F.: Normal forms for certain singularities of vector fields. Ann. Inst. Fourier (Grenoble)23, 163-195 (1973) · Zbl 0266.34046
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