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Connections on foliated manifolds

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1165)

Abstract

The results reported here, whose detailed versions will appear in [1, 2], concern connections in bundles over a foliated manifold and the interplay between the geometry of the connection and the topology of the foliation. Here we only give the proofs of Theorems 1 and 3.

Keywords

  • Universal Cover
  • Tangent Bundle
  • Normal Bundle
  • Riemannian Foliation
  • Canonical Connection

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References

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© 1985 Springer-Verlag

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Blumenthal, R.A. (1985). Connections on foliated manifolds. In: Ławrynowicz, J. (eds) Seminar on Deformations. Lecture Notes in Mathematics, vol 1165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076144

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  • DOI: https://doi.org/10.1007/BFb0076144

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16050-2

  • Online ISBN: 978-3-540-39734-2

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