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Higher genus maxfaces with Enneper end

2023/09/30 by Bardhan, Rivu, Biswas, Indranil, Kumar, Pradip · 1 citation
#53A35 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2310.00235

Abstract

We have proven the existence of new higher-genus maxfaces with Enneper end. These maxfaces are not the companions of any existing minimal surfaces, and furthermore, the singularity set is located away from the ends. The nature of the singularities is systematically investigated.

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