Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends

Published 15 Jun 2023 in math.DG | (2306.09227v1)

Abstract: We prove the existence of a genus-zero complete maximal map with a prescribed singularity set and an arbitrary number of simple and complete ends. We also discuss the conditions under which this maximal map can be made into a complete maxface.

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