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arxiv: 1107.0488 · v2 · pith:56RGGHCXnew · submitted 2011-07-03 · 🧮 math.AP

On the regularity of the composition of diffeomorphisms

classification 🧮 math.AP
keywords compositiondiffeomorphismsregularitycloseddetailedeuclideanmanifoldproof
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For $M$ being a closed manifold or the Euclidean space we present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s > 1/2\dim M + 1$.

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