2017/11/22 by Pankka, Pekka, Souto, Juan
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1711.08287
We prove that every non-constant quasiregular selfmap of the n-sphere \mathbbSn admits a harmonic extension to the hyperbolic space ℍn+1 for n≥ 2.