On the naturality of the exterior differential

Details On the naturality of the exterior differential On the naturality of the exterior differential

2008-01-28

arxiv.org/abs/0801.4295v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

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 $f$.

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