Skip to main content
SpringerLink
Log in

On finite determinacy of formal vector fields

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ichikawa, F.: Finitely determined singularities of formal vector fields. Invent. Math.66, 199–214 (1982)

    Google Scholar 

  2. Koriyama, A., Maeda, Y., Omori, H.: On Lie algebras of vector fields on expansive sets. Japan. J. Math.3, 57–80 (1977)

    Google Scholar 

  3. Mather, J.: Stability ofC ∞-mappings III, Finitely determined map-germs. Publ. Math. I.H.E.S.35 (1968)

  4. Nelson, E.: Topics in dynamics I, flows, Math. Note, Princeton: University Press 1969

    Google Scholar 

  5. Omori, H.: Theory of infinite dimensional Lie groups, Kinokuniya, 1978 (In Japanese)

  6. Sternberg, S.: Local contractions and a theorem of Poincaré. Amer. J. Math.79 809–824 (1957)

    Google Scholar 

  7. Sternberg, S.: On the structure of local homeomorphisms of Euclideann-space, II. Amer. J. Math.80, 623–632 (1958)

    Google Scholar 

  8. Takens, F.: Singularities of vector fields. Publ. Math. I.H.E.S.43 (1973)

  9. Takens, F.: Normal forms for certain singularities of vector fields. Ann. Inst. Fourier (Grenoble)23, 163–195 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Tokyo Metropolitan University, Fukazawa, Setagaya, 158, Tokyo, Japan

    Fumio Ichikawa

Authors
  1. Fumio Ichikawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To the memory of my father

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ichikawa, F. On finite determinacy of formal vector fields. Invent Math 70, 45–52 (1982). https://doi.org/10.1007/BF01393197

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393197

Keywords

Search

Navigation