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A uniqueness theorem for the singly periodic genus-one helicoid

A. Alarcon·L. Ferrer·F. Martin
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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.

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BibTeXRIS

A. Alarcon, L. Ferrer, F. Martin. 2006-12-06. A uniqueness theorem for the singly periodic genus-one helicoid. https://arxiv.org/abs/math/0505412

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