Flows and Foliations

  • Lawrence Conlon
Part of the Birkhäuser Advanced Texts book series (BAT)


In this chapter, we investigate the global theory of ordinary differential equations (flows), referred to as O.D.E., and the Frobenius integrability condition for k-plane distributions (foliations). Although this latter topic concerns global partial differential equations (P.D.E.), our approach will be largely qualitative, with very few explicit partial differential equations in evidence. Unless otherwise indicated, all manifolds will have empty boundary.


Vector Field Local Flow Flow Line Infinitesimal Generator Integral Manifold 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Lawrence Conlon
    • 1
  1. 1.Department of MathematicsWashington UniversitySt. LouisUSA

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