On quasiconformal harmonic maps between surfaces
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math.AP
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harmonicmetricquasiconformalsurfacesanalyticaproximateboundaryeuclidean
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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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