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Minimal surfaces with limit ends in H2 x R

2010/09/17 by Rodríguez, M. Magdalena
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.3524

Abstract

For any m > 0, we construct properly embedded minimal surfaces in H2 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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