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arXiv · 0801.4295

On the naturality of the exterior differential

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 $d f^* α= f^* dα$ for a smooth form $α$ and a Sobolev map $f$.

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Vladimir Gol'dshtein, Marc Troyanov. 2008-01-28. On the naturality of the exterior differential. https://arxiv.org/abs/0801.4295

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