Saddle towers with infinitely many ends

Abstract

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).

16 pages, 3 figures

References in corpus (1)

• A uniqueness result for maximal surfaces in Minkowski 3-space