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Higher-order tensors, strings and new tensors. (English) Zbl 0712.53013

This paper is a pedagogical introduction to a number of generalizations of ordinary tensors obtained by replacing the group GL(n) by an infinite- dimensional group, viz. the group of diffeomorphisms of a neighbourhood of the origin of \({\mathbb{R}}^ n\) up to jet equivalence. The calculational usefulness of the new objects is not clear as there exists no developed representation theory for the latter group.
Reviewer: H.Rumpf

MSC:

53A45 Differential geometric aspects in vector and tensor analysis
58A20 Jets in global analysis
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