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Flows and Foliations

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

Abstract

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.

Keywords

Vector Field Local Flow Flow Line Infinitesimal Generator Integral Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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