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

2023/06/15 by Pradip Kumar, Kumar, Pradip, Sai Rashmi Ranjan Mohanty +1 · 1 citation
Mathematics · #53A35 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2306.09227

openalex publication_date 2023/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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