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arxiv: 0801.4295 · v1 · submitted 2008-01-28 · 🧮 math.AP

On the naturality of the exterior differential

classification 🧮 math.AP
keywords alphadifferentialexteriorsobolevconditionsequationformgive
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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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