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โœฆ   LIBER   โœฆ

A generalization of tensor calculus and its applications to physics

โœ Scribed by Abhay Ashtekar; Gary T. Horowitz; Anne Magnon-Ashtekar

Publisher
Springer US
Year
1982
Tongue
English
Weight
1018 KB
Volume
14
Category
Article
ISSN
0001-7701

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โœฆ Synopsis

Penrose's abstract index notation and axiomatic introduction of eovariant derivatives in tensor calculus is generalized to fields with internal degrees of freedom. The result provides, in particular, an intrinsic formulation of gauge theories without the use of bundles.

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As for extending real-valued continuous functions or continuous pseudometrics on a subspace to the whole space, notions of z-, C \* -, C-, P -and P ฮณ -embeddings are known. As a cardinal generalization of z-embedding, Blair defined in 1985 the notion of z ฮณ -embedding with ฮณ ฯ‰, where z ฯ‰ -embedding