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Deformation theory and stability for holomorphic foliations

  • II. Differential Geometry
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Geometry and Differential Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 792))

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Bibliography

  1. T. Duchamp and M. Kalka, "Stability Theorems for Holomorphic Foliations," preprint.

    Google Scholar 

  2. _____, "Deformation Theory for Holomorphic Foliations," J. Diff. Geom., to appear.

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  3. _____, "Holomorphic Foliations and the Kobayashi Metric," Proc. A.M.S. 67 (1977) p. 117–122.

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  4. R. S. Hamilton, "Deformation Theory for Foliations," preprint.

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  5. J. Heitsch, "A Cohomology for Foliated Manifolds," Comm. Math. Helv. 50 (1975) p. 197–218.

    Article  MathSciNet  MATH  Google Scholar 

  6. F. Kamber-P. Tondeur, Invariant Differential Operators and the Cohomology of Lie Algebra Sheaves, Memoirs A.M.S. Vol. 68 (2).

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  7. M. Kuranishi, "New Proof for the Existence of Locally Complete Families of Complex Analytic Structures," Proceedings of the Conference on Complex Analysis, Minneapolis, Springer (1965) p. 142–154.

    Google Scholar 

  8. M. Mostow, Continuous Cohomology of Spaces with Two Topologies, Memoirs A.M.S. Vol 7 (1976).

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  9. L. Nirenberg, "A Complex Frobenius Theorem," Seminar on Analytic Functions, Institute for Advanced Study, Princeton, (1957) p. 172–189.

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  10. B. Reinhart, "Harmonic Integrals on Almost Product Manifolds," Trans. A.M.S. 88 (1958) p.243–275.

    Article  MathSciNet  MATH  Google Scholar 

  11. I. Vaisman, "Variétés Riemannienne Feuilletées," Czechoslovak Math. J. 21 (1971) p. 46–75.

    MathSciNet  MATH  Google Scholar 

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Rafael Artzy Izu Vaisman

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© 1980 Springer-Verlag

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Duchamp, T., Kalka, M. (1980). Deformation theory and stability for holomorphic foliations. In: Artzy, R., Vaisman, I. (eds) Geometry and Differential Geometry. Lecture Notes in Mathematics, vol 792. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088681

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  • DOI: https://doi.org/10.1007/BFb0088681

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09976-5

  • Online ISBN: 978-3-540-39214-9

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