On the naturality of the exterior differential

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


Published in:
C. R. Math. Rep. Acad. Sci. Canada, 30, 1, 1-10
Year:
2008
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 Record created 2009-07-08, last modified 2018-09-13

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