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arxiv: math/0611731 · v1 · submitted 2006-11-23 · 🧮 math.DG

Saddle towers with infinitely many ends

classification 🧮 math.DG
keywords endsinfinitelymanymathbbcurvatureembeddedexistencegenus
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We prove the existence of nonperiodic, properly embedded minimal surfaces in $\mathbb{R}^2\times\mathbb{S}^1$ with genus zero, infinitely many ends and one limit end (in particular, they have infinite total curvature).

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