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Lie Derivatives

  • Gerardo F. Torres del Castillo

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Hydon, P.E. (2000). Symmetry Methods for Differential Equations (Cambridge University Press, Cambridge). Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Instituto de CienciasUniversidad Autónoma de PueblaPueblaMexico

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