Teichmuller Mappings, Harmonic Maps and Holomorphic Quadratic Differentials |
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作者姓名: | 郭辉 |
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作者单位: | Dept. of |
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基金项目: | Supported partly by the National Natural Science Foundation of China(No.19801024),the Natural Science Foundation of Guangdong Province in China(No.984112) |
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摘 要: | Let M be a smooth, compact (closed and without boundary) surface. Consider the metricsσ(z)|dz|~2 and ρ(ω)|dω|~2 on M, where z=x+iy and ω=u+iv are conformal coordinates onM. For a Lipschitz map ω=ω(z): (M, σ|dz|~2)→(M, ρ|dw|~2), we define the energy density of
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