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arxiv: 1009.3524 · v2 · pith:6IAGNDHQnew · submitted 2010-09-17 · 🧮 math.DG

Minimal surfaces with limit ends in H² x R

classification 🧮 math.DG
keywords endslimitexamplesminimalsurfacesverticalbi-graphsconstruct
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For any m > 0, we construct properly embedded minimal surfaces in H^2 x R with genus zero, infinitely many vertical planar ends and m limit ends. We also provide examples with an infinite countable number of limit ends. All these examples are vertical bi-graphs.

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