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A uniqueness theorem for the singly periodic genus-one helicoid |
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| Authors: | Antonio Alarcó n Leonor Ferrer Francisco Martí n |
| Affiliation: | Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain ; Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain ; Departamento de Geometría y Topología, Universidad de Granada, 18071, Granada, Spain |
| Abstract: | 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. |
| Keywords: | Properly embedded minimal surfaces helicoidal ends |
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