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On codimension-one foliations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1410)

Keywords

  • Closed Subset
  • Universal Covering
  • Geodesic Flow
  • Related Leaf
  • Compact Leaf

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References

  1. R.A. Blumenthal and J.J. Hebda, Ehresmann connections for foliations, Indiana Univ.Math.J. 33 (1984), 597–611.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R.A. Blumenthal and J.J. Hebda, Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations, Quart. J. Math. Oxford 35 (1984), 383–392.

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  3. R.A. Blumenthal and J.J. Hebda, De Rham Decomposition Theorem for foliated manifolds, Ann.Inst. Fourier Grenoble 33 (1983), 183–198.

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  4. C. Currás-Bosch, The geometry of totally geodesic foliations admitting Killing field, Tôhoku Math.J. 40 (1988), 535–548.

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  5. H. Gluck, Dynamical behavior of geodesic fields, Lecture Notes in Math. 819 (1980), 190–215.

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  6. G. Hector and U. Hirsch, Introduction to the geometry of foliations, part A, Friedrich Vieweg & Sohn, Braunschweig (1981).

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  7. G. Hector and U. Hirsch, Introduction to the geometry of foliations, part B (foliations of codimension-one), Friedrich Vieweg & Sohn, Braunschweig (1983).

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© 1989 Springer-Verlag

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Currás-Bosch, C. (1989). On codimension-one foliations. In: Carreras, F.J., Gil-Medrano, O., Naveira, A.M. (eds) Differential Geometry. Lecture Notes in Mathematics, vol 1410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086416

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  • DOI: https://doi.org/10.1007/BFb0086416

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51885-3

  • Online ISBN: 978-3-540-46858-5

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