Higher genus maxfaces with Enneper end

Published 30 Sep 2023 in math.DG | (2310.00235v2)

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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