Singly periodic Costa surfaces

• Autores: Valerio Ramos Batista
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 72, Nº 2, 2005, págs. 478-496
• Idioma: inglés
• DOI: 10.1112/s0024610705006836
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• Resumen

  • Global Weierstrass representations are derived for complete minimal surfaces obtained by substituting the planar end of the Costa surface by Scherk ends. This gives rise to singly periodic examples, of which the fundamental piece is proved to be embedded by a simple geometric technique. This technique can be generalised for embeddedness proof of future examples of the same nature.