Abstract: An elementary introduction to the tensor representations of the diffeomorphism group and to the related covariant differential calculus. Includes, in particular, tensor densities, isometries, and a discussion of the properties of the affine connection. Of special interest (not easily available in the textbook literature): the explicit form of the contraction rules for totally antisymmetric tensors; the definition of infinitesimal transformations up to second order; the computation of the full affine connection including torsion and non-metricity contributions.
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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