Lie Derivatives

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

Chapter Chapter 2 in Differentiable Manifolds, 2020, pp 37-58 from Springer

Abstract: 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.

Date: 2020
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DOI: 10.1007/978-3-030-45193-6_2

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