Iterated Differential Forms I: Tensors
Differential Geometry
2010-05-05 v1 Mathematical Physics
math.MP
Rings and Algebras
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.
Cite
@article{arxiv.math/0605113,
title = {Iterated Differential Forms I: Tensors},
author = {A. M. Vinogradov and L. Vitagliano},
journal= {arXiv preprint arXiv:math/0605113},
year = {2010}
}
Comments
9 pages, extended version of the published note Dokl. Math. 73, n. 2 (2006) 169