Singular Riemannian Foliations

  • Pierre Molino
Part of the Progress in Mathematics book series (PM, volume 73)


The global geometry of Riemannian foliations that we depicted in the last chapter leads us naturally to consider “singular” Riemannian foliations. Indeed, if (M, F, g T ) is a Riemannian foliation on a compact connected manifold, then the partition \(\overline F\) of M by the leaf closures defines, outside the singular closures, a Riemannian foliation. Moreover, transverse to the leaves, this partition is locally defined by the orbits of a Lie algebra of Killing vector fields. This is a typical example of a singular Riemannian foliation.


Tubular Neighborhood Riemannian Foliation Euclidian Structure Singular Foliation Compact Open Subset 
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Copyright information

© Birkhäuser Boston 1988

Authors and Affiliations

  • Pierre Molino
    • 1
  1. 1.Institut de MathématiquesUniversité des Sciences et Techniques du LanguedocMontpellier CedexFrance

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