A uniqueness theorem for the singly periodic genus-one helicoid

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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.
12 pages, 6 figures

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Differential Geometry, Primary 53A10; Secondary 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/101290

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505412
 http://arxiv.org/abs/math/0505412

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arXiv