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On the naturality of the exterior differential

Analysis of PDEs 2008-01-29 v1
Authors: Vladimir Gol'dshtein , Marc Troyanov
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Abstract

We give sufficient conditions for the naturallity of the exterior differential under Sobolev mappings. In other words we study the validity of the equation df∗α=f∗dαd f^* \alpha = f^* d\alpha for a smooth form α\alpha and a Sobolev map ff.

Keywords

exterior differential naturality Sobolev mappings smooth forms pullback differential geometry

Cite

@article{arxiv.0801.4295,
  title  = {On the naturality of the exterior differential},
  author = {Vladimir Gol'dshtein and Marc Troyanov},
  journal= {arXiv preprint arXiv:0801.4295},
  year   = {2008}
}

Comments

9 pages

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