Integral Manifolds

  • Gerardo F. Torres del CastilloEmail author


In this chapter we show that, in a neighborhood of each point where a vector field does not vanish, one can find local coordinates where this vector field acquires its simplest expression. Just as a vector field defines a family of curves such that through each point of the manifold there passes one of these curves, it is shown that under certain conditions, a set of vector fields (or of 1-forms) defines a family of submanifolds of a fixed dimension.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Instituto de CienciasBenemérita Universidad Autónoma de PueblaPueblaMexico

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