Elements of Foliation Theory

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


In this chapter we introduce the basic notions that underlie the theory of foliations: projectable atlases, completely integrable distributions, leaves, transversals, holonomy. We give an elementary account that will be sufficient in order to understand the chapters that follow. For a more advanced treatment of these notions, the reader is referred to the texts that founded the theory, those of C.Ehresmann [Eh], G.Reeb [Re], and A.Haefliger [Ha]1 [Ha]2.


Open Neighborhood Holonomy Group Local Diffeomorphism Simple Foliation Smooth Vector Field 
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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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