Detalhes bibliográficos
| Ano de defesa: |
2014 |
| Autor(a) principal: |
Hancco, Alvaro Julio Yucra |
| Orientador(a): |
Villagra, Guillermo Antonio Lobos
 |
| Banca de defesa: |
Não Informado pela instituição |
| Tipo de documento: |
Tese
|
| Tipo de acesso: |
Acesso aberto |
| Idioma: |
por |
| Instituição de defesa: |
Universidade Federal de São Carlos
|
| Programa de Pós-Graduação: |
Programa de Pós-Graduação em Matemática - PPGM
|
| Departamento: |
Não Informado pela instituição
|
| País: |
BR
|
| Palavras-chave em Português: |
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| Área do conhecimento CNPq: |
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| Link de acesso: |
https://repositorio.ufscar.br/handle/20.500.14289/5834
|
Resumo: |
Starting from works by Scherk (1835) and by Enneper-Weierstraß (1863), new minimal surfaces with Scherk ends were found only in 1988 by Karcher (see [16, 17]). In the singly periodic case, Karcher s examples of positive genera had been unique until Traizet obtained new ones in 1996 (see [41]). However, Traizet s construction is implicit and excludes towers, namely the desingularisation of more than two concurrent planes. Then, new explicit towers were found only in 2006 by Martin and Ramos Batista (see [24]), all of them with genus one. For genus two, the first such towers were constructed in 2010 (see [40]). Back to 2009, implicit towers of arbitrary genera were found in [11]. In our present work we obtain explicit minimal Scherk saddle towers, for any given genus 2k, k ≥ 3, that we denote ST2k. We also present the MATLAB and Evolver programming that make it possible to generate the surfaces ST2k. MATLAB is an abbreviation forMatrix Laboratory, a program developed and distributed by MathWorks. Evolver is a free iterative program developed by Kenneth A. Brakke, a professor at Susquehanna University (see [3, 34]). |
