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Iterated Differential Forms I: Tensors

A. M. Vinogradov·L. Vitagliano
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Abstract

We interpret tensors on a smooth manifold M as differential forms over a graded commutative algebra called the algebra of iterated differential forms over M. This allows us to put standard tensor calculus in a new differentially closed context and, in particular, enriches it with new natural operations. Applications will be considered in subsequent notes.

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BibTeXRIS

A. M. Vinogradov, L. Vitagliano. 2006-05-04. Iterated Differential Forms I: Tensors. https://doi.org/10.1134/s1064562406020037

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