Iterated Differential Forms I: Tensors

Details Iterated Differential Forms I: Tensors Iterated Differential Forms I: Tensors

2006-05-04

arxiv.org/abs/math/0605113v1

Dokl. Math. 73 (2006) 169-171

Mathematics

Differential Geometry

9 pages, extended version of the published note Dokl. Math. 73, n. 2 (2006) 169

Scientific paper

10.1134/S1064562406020037

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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