Integral Manifolds

Gerardo F. Torres del Castillo ()
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Gerardo F. Torres del Castillo: Universidad Autónoma de Puebla, Instituto de Ciencias

Chapter Chapter 4 in Differentiable Manifolds, 2012, pp 67-91 from Springer

Abstract: Abstract 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.

Keywords: Vector Field; Configuration Space; Integral Curve; Vector Subspace; Infinitesimal Generator (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8271-2_4

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DOI: 10.1007/978-0-8176-8271-2_4

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