Harmonic maps between 3-dimensional hyperbolic spaces
classification
🧮 math.DG
math.GT
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dimensionalharmonichyperbolicadmitsconfirmingconjecturedimensionextension
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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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