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Harmonic extensions of quasiregular maps
Published 22 Nov 2017 in math.DG and math.CV | (1711.08287v1)
Abstract: We prove that every non-constant quasiregular selfmap of the $n$-sphere $\mathbb{S}{n}$ admits a harmonic extension to the hyperbolic space $\mathbb{H}{n+1}$ for $n\ge 2$.
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