Inventiones mathematicae

, Volume 80, Issue 3, pp 435–451

The homotopy class of non-singular Morse-Smale vector fields on 3-manifolds

  • Koichi Yano


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  1. 1.
    Asimov, D.: Round handles and non-singular Morse-Smale flows. Ann. Math.102, 41–54 (1975)Google Scholar
  2. 2.
    Asimov, D.: Homotopy of non-singular vector fields to structurally stable ones. Ann. Math.102, 55–65 (1975)Google Scholar
  3. 3.
    Asimov, D.: Homotopy to divergence-free vector fields. Topology15, 349–352 (1976)Google Scholar
  4. 4.
    Asimov, D.: Flaccidity of geometric index for nonsingular vector fields. Comment. Math. Helv.52, 161–175 (1977)Google Scholar
  5. 5.
    Jaco, W.H.: Lectures on three-manifolds topology, CBMS Regional Conf. Ser. in Math. no. 43, Amer. Math. Soc., Providence, Rhode Island (1980)Google Scholar
  6. 6.
    Matsumoto, S.: There are two isotopic Morse-Smale diffeomorphisms which cannot be joined by simple arcs. Invent. math.51, 1–7 (1979)Google Scholar
  7. 7.
    Morgan, J.: Non-singular Morse-Smale flows on 3-dimensional manifolds. Topology18, 41–53 (1978)Google Scholar
  8. 8.
    Newhouse, S., Palis, J., Takens, F.: Bifurcations of families of diffeomorphisms. Publ. Math. I.H.E.S.57, 5–71 (1983)Google Scholar
  9. 9.
    Newhouse, S., Peixoto, M.: There is a simple arc joining any two Morse-Smale flows. Astérisque31, 15–41 (1976)Google Scholar
  10. 10.
    Palis, J., Smale, S.: Structural stability theorems. Proc. Symp. Pure Math., Vol. 14, Global Analysis, Amer. Math. Soc., Providence, Rhode Island, pp. 23–231 (1970)Google Scholar
  11. 11.
    Peixoto, M.: On an approximation theorem of Kupka and Smale. J. Differ. Equation3, 214–227 (1967)Google Scholar
  12. 12.
    Reinhart, B.L.: Line elements on the torus. Am. J. Math.81, 617–631 (1959)Google Scholar
  13. 13.
    Smale, S.: On gradient dynamical systems. Ann. Math.74, 199–206 (1961)Google Scholar
  14. 14.
    Wilson, F.W. Jr.: On the minimal sets of non-singular vector fields. Ann. Math.84, 529–536 (1966)Google Scholar
  15. 15.
    Wilson, F.W. Jr.: Some examples of vector fields on the 3-sphere. Ann. Inst. Fourier20, 1–20 (1970)Google Scholar
  16. 16.
    Wilson, F.W. Jr.: Some examples of nonsingular Morse-Smale vector fields onS 3. Ann. Inst. Fourier27–2, 145–159 (1977)Google Scholar
  17. 17.
    Yano, K.: A note on non-singular Morse-Smale flows onS 3. Proc. Jap. Acad., Ser. A58, 447–450 (1982)Google Scholar
  18. 18.
    Yano, K.: Homology classes which are represented by graph links. Proc. Am. Math. Soc. (to appear)Google Scholar
  19. 19.
    Yano, K.: Non-singular Morse-Smale flows on 3-manifolds which admit transverse foliations. Adv. Studies in Pure Math., Vol. 5, Foliations, Kinokuniya North-Holland, Tokyo (to appear)Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Koichi Yano
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceUniversity of TokyoTokyo, 113Japan

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