Bulletin of the American Mathematical Society

On local diffeomorphisms about an elementary fixed point

Kuo-Tsai Chen

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 69, Number 6 (1963), 838-840.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183525706

Mathematical Reviews number (MathSciNet)
MR0154292

Zentralblatt MATH identifier
0116.40405

Citation

Chen, Kuo-Tsai. On local diffeomorphisms about an elementary fixed point. Bull. Amer. Math. Soc. 69 (1963), no. 6, 838--840. https://projecteuclid.org/euclid.bams/1183525706


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References

  • 1. K. T. Chen, Equivalence and decomposition of local vector fields, Proc. Nat. Acad. Sci. U.S.A. 49 (1963), 740-741.
  • 2. K. T. Chen, Equivalence and decomposition of vector fields about an elementary critical point, Amer. J. Math. (to appear).
  • 3. D. C. Lewis, On formal power series transformation, Duke Math. J. 5 (1939), 794-805.
  • 4. S. Smale, Stable manifolds for differential equations and diffeomorphisms, Ann. Scuola Norm. Sup. Pisa 17 (1963), 97-116.
  • 5. S. Sternberg, The structure of local homeomorpMsm. III, Amer. J. Math. 81 (1959), 578-604.