Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Solving Beltrami equations by circle packing

Author: Zheng-Xu He
Journal: Trans. Amer. Math. Soc. 322 (1990), 657-670
MSC: Primary 30C62; Secondary 30C35, 52C15
MathSciNet review: 974518
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 30C62, 30C35, 52C15

Retrieve articles in all journals with MSC: 30C62, 30C35, 52C15

Additional Information

Keywords: Circle packing, quasiconformal mapping, Beltrami equation, PL complex
Article copyright: © Copyright 1990 American Mathematical Society