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Lie Derivatives

  • Gerardo F. Torres del CastilloEmail author
Chapter
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Abstract

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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