Solving Beltrami Equations by Circle Packing
- 1 December 1990
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 322 (2) , 657-670
- https://doi.org/10.2307/2001719
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.Keywords
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