Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends
Differential Geometry
2023-06-16 v1
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.
Keywords
Cite
@article{arxiv.2306.09227,
title = {Genus Zero Complete Maximal Maps and Maxfaces with an Arbitrary Number of Ends},
author = {Pradip Kumar and Sai Rashmi Ranjan Mohanty},
journal= {arXiv preprint arXiv:2306.09227},
year = {2023}
}
Comments
It will appear in Comptes Rendus - S\'erie Math\'ematique