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A uniqueness theorem for the singly periodic genus-one helicoid
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A uniqueness theorem for the singly periodic genus-one helicoid
classification
math.DG
keywords
helicoidgenus-oneperiodicsinglytheoremuniquenesscelebratedcomplete
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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.
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