Solving Beltrami equations by circle packing

He, Zheng-Xu

doi:10.1090/S0002-9947-1990-0974518-5

Solving Beltrami equations by circle packing
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Trans. Amer. Math. Soc. 322 (1990), 657-670 Request permission

Abstract:

We use Andreev-Thurston’s theorem on the existence of circle packings to construct approximating solutions to the Beltrami equations on Riemann surfaces. The convergence of the approximating solutions on compact subsets will be shown. This gives a constructive proof of the existence theorem for Beltrami equations.

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Sur une class des représentations continues

42

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