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Common singularities of commuting vector fields on 2-manifolds

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Commentarii Mathematici Helvetici

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Bibliography

  1. H. Levine,Homotopie curves on surfaces. Proc. Am. Math. Soc.14 (1963), pp. 986–990.

    Article  MATH  Google Scholar 

  2. E. Coddington andN. Levinson,Theory of Ordinary Differential Equations. Mc-Graw-Hill, New York (1955).

    MATH  Google Scholar 

  3. A. Denjoy,Sur les courbes définies par des équations differentielles à la surface du tore. J. Math. Pures Appl. (9) 11 (1932), pp. 333–345.

    MATH  Google Scholar 

  4. E. Lima,Commuting vector fields on S 2. Proc. Am. Math. Soc.15 (1964), pp. 138–141.

    Article  MATH  MathSciNet  Google Scholar 

  5. E. Lima,Commuting vector fields on 2-manifolds. Bull. Am. Math. Soc.69 (1963), pp. 366–368.

    Article  MATH  MathSciNet  Google Scholar 

  6. M. Peixoto,Structural stability on two-dimensional manifolds. Topology1 (1962), pp. 101–120.

    Article  MATH  MathSciNet  Google Scholar 

  7. A. Schwartz,A generalization of the Poincaré-Bendixon theorem for two-dimensional manifolds. (To appear in the Am. Journal Math.).

  8. H. Whitney,Regular families of curves. Ann. of Math.34 (1933), pp. 244–270.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Columbia University, New York

    Elon L. Lima (Fellow of the Guggenheim Foundation)

  2. I. M. P. A., Rio de Janeiro, Brazil

    Elon L. Lima (Fellow of the Guggenheim Foundation)

Authors
  1. Elon L. Lima
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This work has been aprtially supported by the National Science Foundation under Contract NSF GP-1904.

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Lima, E.L. Common singularities of commuting vector fields on 2-manifolds. Commentarii Mathematici Helvetici 39, 97–110 (1964). https://doi.org/10.1007/BF02566947

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  • DOI: https://doi.org/10.1007/BF02566947

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