Lie Derivatives

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

Chapter Chapter 2 in Differentiable Manifolds, 2012, pp 29-48 from Springer

Abstract: Abstract In this chapter several additional useful concepts are introduced, which will be extensively employed in the second half of this book. It is shown that there is a one-to-one relation between vector fields on a manifold 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 .

Keywords: Vector Field; Tangent Vector; Integral Curve; Tensor Field; 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_2

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DOI: 10.1007/978-0-8176-8271-2_2

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