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The topology of integrable differential forms near a singularity

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References

  1. C. Camacho, On Rk × Zl-actions,Proc. Symp. Dyn. Syst., Editor M. Peixoto, Ac. Press (1971), pp. 23–70.

  2. C. Camacho, A. Lins Neto, Cr-structural stability of germs of integrable 1-forms,Atas do XI Colóquio Brasileiro de Matemática, vol. II (1977), pp. 565–567.

    Google Scholar 

  3. C. Camacho, N. Kuiper, J. Palis, The topology of holomorphic flows with singularity,Publ. Math. I.H.E.S.,48 (1978), pp. 5–38.

    MATH  Google Scholar 

  4. G. de Rham, Sur la division des formes et des courants par une forme linéaire,Comm. Math. Helvetici,28 (1954), pp. 346–352.

    Article  MATH  Google Scholar 

  5. I. Kupka, The singularities of integrable structurally stable Pfaffian forms,Proc. Nat. Acad. Sci. U.S.A.,52 (1964), pp. 1431–1432.

    Article  MATH  Google Scholar 

  6. A. Lins N., Structural stability of C2-integrable forms,Ann. Inst. Fourier,27 (2) (1977), pp. 197–225.

    Google Scholar 

  7. B. Malgrange, Frobenius avec singularités I. Codimension un,Publ. Math. I.H.E.S.,46 (1976), pp. 163–173.

    MATH  Google Scholar 

  8. J.-F. Mattei, R. Moussu, Intégrales premières d’une forme de Pfaff analytique,Ann. Inst. Fourier,28 (4) (1978), pp. 229–347.

    Google Scholar 

  9. A. Medeiros, Structural stability of integrable differential forms,Springer Lec. Notes,597 (1977), pp. 395–428.

    Google Scholar 

  10. R. Moussu, Sur l’existence d’intégrales premières pour un germe de forme de Pfaff,Ann. Inst. Fourier,26 (2) (1976), pp. 171–220.

    Google Scholar 

  11. K. Saito, Calcul algébrique de la monodromie,Astérisque 7 et 8 (1973), pp. 195–211.

  12. C. L. Siegel, Über die normalform analytischer differentialgleichungen in der nähe einer Gleichgewichtslösung,Nachr. Akad. Wiss. Göttingen, Math. Phys. Kl. (1952), pp. 21–30.

  13. S. Sternberg, On the structure of local homeomorphisms of euclideann-space II,Am. J. of Math.,80 (1958), pp. 623–631.

    Article  MATH  Google Scholar 

  14. M. I. Camacho, Generic properties of homogeneous vector fields of degree two inR 3,An. Acad. Bras. Ciên.,51 (1) (1979), pp. 31–33.

    Google Scholar 

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Authors and Affiliations

  1. Instituto de Matemática Pura e Aplicada, Estrada Da. Castorina, 110, 22.460, Rio de Janeiro, RJ, Brasil

    César Camacho & Alcides Lins Neto

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  1. César Camacho
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  2. Alcides Lins Neto
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Camacho, C., Neto, A.L. The topology of integrable differential forms near a singularity. Publications Mathématiques de L’Institut des Hautes Scientifiques 55, 5–35 (1982). https://doi.org/10.1007/BF02698693

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  • DOI: https://doi.org/10.1007/BF02698693

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