Iterated differential forms: Tensors

  title={Iterated differential forms: Tensors},
  author={Alexandre M. Vinogradov and Luca Vitagliano},
  journal={Doklady Mathematics},
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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