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Teichmǖller Mappings, Harmonic Maps and Holomorphic Quadratic Differentials |
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| Abstract: | Let M be a smooth,compact(closed and without boundary)surface.Consider the metrics σ(z)|dz|2 and ρ(ω)|dω|2 on M,where z=x+iy and ω=u+iv are conformal coordinates on M. |
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