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arxiv: 1407.6160 · v1 · pith:NZFQHK7Gnew · submitted 2014-07-23 · 🧮 math.DG

A nonexistence result on harmonic diffeomorphisms between punctured spaces

classification 🧮 math.DG
keywords punctureddiffeomorphismsharmonicnonexistenceresultspacespaceswill
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In this paper, we will prove a result of nonexistence on harmonic diffeomorphisms between punctured spaces. In particular, we will given an elementary proof to the nonexistence of rotationally symmetric harmonic diffeomorphisms from the punctured Euclidean space onto the punctured hyperbolic space.

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