Ichikawa, Fumio On finite determinacy of formal vector fields. (English) Zbl 0504.58010 Invent. Math. 70, 45-52 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 10 Documents MSC: 58C25 Differentiable maps on manifolds 58K99 Theory of singularities and catastrophe theory 58A40 Differential spaces Keywords:singularities of map-germs; strong eigenvalue conditions; finite determinacy; singularities of formal vector fields Citations:Zbl 0491.58025 PDFBibTeX XMLCite \textit{F. Ichikawa}, Invent. Math. 70, 45--52 (1982; Zbl 0504.58010) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.