Lie Derivatives

  • Gerardo F. Torres del CastilloEmail author


In this chapter several additional basic concepts are introduced, which will be extensively employed in what follows. It is shown that, in any differentiable manifold, there is a one-to-one relation between vector fields and families of transformations of the manifold onto itself. This relation is essential in the study of various symmetries, as shown in Chaps. 4, 6 and 8, and in the relationship of a Lie group with its Lie algebra, treated in Chap. 7.

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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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