A geometric application of Runge's theorem

Autors/ores

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

Paraules clau:

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

Resum

En aquest article donem una demostració simple de l'existència d'aplicacions harmòniques de qualsevol superfície de Riemann cap al pla complex C = R2. La nostra eina principal és la teoria d'aproximació per funcions holomorfes en superfícies de Riemann.

Descàrregues

Les dades de descàrrega encara no estan disponibles.

Descàrregues

Publicat

2016-04-19

Com citar

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

Número

Vol. 2 Núm. 1 (2016)

Secció

Articles

Llicència

The intellectual property of articles belongs to the respective authors.
On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:
  1. Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.
  2. Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.
  3. Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.
  4. Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.
  5. The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.
  6. The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.