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Harmonic maps between 3-dimensional hyperbolic spaces

Published 7 Aug 2013 in math.DG and math.GT | (1308.1710v2)

Abstract: We prove that a quasiconformal map of the 2-sphere admits a harmonic quasi-isometric extension to the 3-dimensional hyperbolic space, thus confirming the well known Schoen Conjecture in dimension 3.

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