Genus-one helicoids from a variational point of view

• Autores: David Hoffman, Brian White
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 83, Nº 4, 2008, págs. 767-813
• Idioma: inglés
• DOI: 10.4171/cmh/143
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• Resumen

  • In this paper, we use variational methods to prove existence of a complete, properly embedded, genus-one minimal surface that is asymptotic to a helicoid at infinity. We also prove some new properties of such helicoid-like surfaces.