On quasiconformal harmonic maps between surfaces

Details On quasiconformal harmonic maps between surfaces On quasiconformal harmonic maps between surfaces

2009-05-05

arxiv.org/abs/0905.0699v4

Mathematics

Complex Variables

Scientific paper

It is proved the following theorem, if $w$ is a quasiconformal harmonic
mappings between two Riemann surfaces with smooth boundary and aproximate
analytic metric, then $w$ is a quasi-isometry with respect to Euclidean metric.

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