A uniqueness theorem for the singly periodic genus-one helicoid

Details A uniqueness theorem for the singly periodic genus-one helicoid A uniqueness theorem for the singly periodic genus-one helicoid

2005-05-19

arxiv.org/abs/math/0505412v2

Mathematics

Differential Geometry

12 pages, 6 figures

Scientific paper

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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