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

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.

Bibliographic Details
Main Authors: Kumar, Pradip, Mohanty, Sai Rasmi Ranjan
Format: Article
Language:English
Published: Académie des sciences 2023-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.525/