A Geometric Application of Runge's Theorem

Authors

  • Ildefonso Castro-Infantes Departamento de Geometría y Topología. Universidad de Granada.

Keywords:

Harmonic map, proper, map, Riemann surface, Runge theorem

Abstract

In this article we give a simple proof of the existence of proper harmonic maps from any open Riemann surface into the complex plane C=R^2. Our main tool will be the Approximation Theory by holomorphic functions on Riemann surfaces.

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Published

2016-04-19

How to Cite

Castro-Infantes, I. (2016). A Geometric Application of Runge’s Theorem. Reports@SCM, 2(1), 21–32. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/136778

Issue

Vol. 2 No. 1 (2016)

Section

Articles

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