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Differential geometry and foliations: The godbillon-vey invariant and the bott-pasternack vanishing-theorems

I. Gelfand-Fuks Theory And Characteristic Classes Of Foliations

Part of the Lecture Notes in Mathematics book series (LNM,volume 652)

Keywords

  • Vector Field
  • Vector Bundle
  • Tensor Field
  • Riemannian Foliation
  • Foliated Manifold

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References

  1. M. Atiyah, "Complex Analytic Connections in Fibre Bundles", Trans. A.M.S. (1957) p. 181–207.

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  2. R. Bott, "On a Topological Obstruction to Integrability", Proc. Symp. Pure Math, Vol. 16, A.M.S. Providence, R.I. 1970 pp. 127–131.

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  3. C. Godbillon and J. Vey, "Un Invariant des Feuilletages de Codimension 1" C. R. Acad. Sci. Paris Ser. A-B273 (1971) pp. 92–95.

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  4. J. Pasternak, "Foliations and Compact Lie Group Actions" Comment. Math. Helv., 46 (1971) pp. 467–477.

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  5. J. Sondow, "The Godbillon-Vey Invariant of a Product Foliation is Zero", Dynamical Systems, Academic Press New York 1973 pp. 545–547.

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  6. B. Reinhart and J. Wood, "A Metric Formula for the Godbillon-Vey Invariant for Foliations", Proc. A.M.S. 38 (1973) pp. 427–429.

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  7. W. Thurston, "Noncobordant Foliations of S3", Bull. A.M.S., 78 (1972) pp. 511–514.

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  8. W. Thurston and H. Rosenberg, "Some Remarks on Foliations" Dynamical Systems, Academic Press New York 1973, pp. 463–478.

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© 1978 Springer-Verlag

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Gardner, R.B. (1978). Differential geometry and foliations: The godbillon-vey invariant and the bott-pasternack vanishing-theorems. In: Schweitzer, P.A. (eds) Differential Topology, Foliations and Gelfand-Fuks Cohomology. Lecture Notes in Mathematics, vol 652. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0063503

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  • DOI: https://doi.org/10.1007/BFb0063503

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07868-5

  • Online ISBN: 978-3-540-38074-0

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