Resumen de A uniqueness theorem for the singly periodic genus-one helicoid

Antonio Luis Alarcón Vera, Francisco Martín Serrano, Leonor Ferrer

• 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.