A uniqueness theorem for the singly periodic genus-one helicoid

• Autores: Antonio Luis Alarcón Vera, Francisco Martín Serrano , Leonor Ferrer
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 6, 2007, págs. 2819-2829
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04093-7
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• Resumen

  • The singly periodic genus-one helicoid was in the origin of the discovery of the first example of a complete minimal surface with finite topology but infinite total curvature, the celebrated Hoffman-Karcher-Wei's genus one helicoid. The objective of this paper is to give a uniqueness theorem for the singly periodic genus-one helicoid provided the existence of one symmetry.