Integral Manifolds

  • Gerardo F. Torres del CastilloEmail author


We have met the concept of integral curve of a vector field in Sect.  2.1 and we have seen that finding such curves is equivalent to solving a system of ODEs. In this chapter we consider a generalization of this relationship defining the integral manifolds of a set of vector fields or of differential forms. We shall show that the problem of finding these manifolds is equivalent to that of solving certain systems of differential equations.


Vector Field Configuration Space Integral Curve Vector Subspace Infinitesimal Generator 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Instituto de CienciasUniversidad Autónoma de PueblaPueblaMexico

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