Abstract
In field theory one has to deal with deri vat ives of vector fields and in modern theories there appear quantities which are vectors not in space-time but in an internal space. In both cases one deals with vector bundles where vectors at different points are not canonically oriented towards each other. A chart independent notion of a derivative requires an additional structure, the so-called connection. It will be the subject of this chapter. As one hopes that eventually space , time and internal space will turn out to be onl y different directions in a unifying entity we start with some definitions which allow us to tre at both cases in the same way.
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© 1978 Springer-Verlag Wien
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Thirring, W. (1978). Gravitation. In: A Course in Mathematical Physics 2. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8762-4_4
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DOI: https://doi.org/10.1007/978-1-4419-8762-4_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6463-7
Online ISBN: 978-1-4419-8762-4
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