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arxiv: 1409.2118 · v1 · pith:NG5YLN5Tnew · submitted 2014-09-07 · 🧮 math.DG

An existence and uniqueness result for orientation-reversing harmonic diffeomorphism from mathbb{H}_*^n to mathbb{R}_*^n

classification 🧮 math.DG
keywords mathbbexistenceharmonicorientation-reversingresultuniquenesscorrespondingdiffeomorphism
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In this paper, we prove an existence and uniqueness theorem for orientation-reversing harmonic diffeomorphisms from $\mathbb{H}_*^n$ to $\mathbb{R}_*^n$ with rotational symmetry, which is a generalization of the corresponding result for dimension $2$.

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